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How to prevent to relaunch specific Activity after pressed back button?

When I pressed the back button on B Activity to go back A Activity, B Activity is relaunched 'cause B Activity was launched from intent.extra at onCreate of A Activity.
The intent.extra is recreated with previous data, so it happens recursively.
My intention is to load B Activity from FCM and then back to the A Activity when the user pressed the back button.
I already tried to remove data of intent after startActivity but it didn't work.
But If I check savedInstanceState is null or not, it works but I'm not sure it's the right way or not.
Plus, the A Activity's launchMode is singleTop but it's not the point of this problem, I think.
Whole scenarios are the following.
Get the data from FCM in the background and then the data is served from the System tray.
Check if there is data or not at onCreate of A Activity and then if there is launch B Activity.
Pressed back button on B Activity but B Activity relaunched at onCreate of A Activity.
How to prevent the action of 3 in the scenarios?

Return to previous Activity without deleting current state - Android

I wrote an Android app with several Activities and a Main Activity. When I go from the Main Activity to lets say Activity B, I want to "pause" the Main Activity, when the back button is pressed it should go back and reactivate the Main Activity instead of calling onCreate().
This shall work with all Activities, so if I click on a button to start Activity B, it shall also reactivate the old Activity B instead of creating a new state with onCreate().
How can I realize this?
PS: I already tried it with parcelable, but this do only work, if I close the application or something unexpected happens.

It's always possible that the first activity may be destroyed when you start another activity. It will be recreated when you go back to it. Every app should be written with this possibility in mind. To make sure your activities can handle being destroyed and recreated, turn on the "don't keep activities" developer option.

It is by default in Android. If you Start Activity B from Activity A then activity A goes in stopped state. Below methods will be called of Activity A
onPause()
onStop()
When you tap on Back key on Activity B. Below methods of Activity A will be called.
onRestart()
onStart()
onResume()
For reactivating Activity B, you can set Activity B launch mode as singleInstance. This will make sure that only single instance of Activity B will be created. onCreate will be not be called again. onNewIntent will be called when that activity is reactivated.
Refer: http://developer.android.com/guide/topics/manifest/activity-element.html#lmode

Activities live in stack order. Each activity has its life cycle. When you close an activity (Activity B in your example) it eventually reaches onDestroy() method and removed from the stack order. It is by default in Android and there's nothing you can do about it.
What you can do is rewrite the onStop() method in Activity B and save some activity data (like text in EditText, for example) in SharedPreferences - read here. Then in your onCreate() method you can call for SharedPreferences, check if it's not empty and restore the text in the EditText by pulling appropriate value by key.

How can i deny activity to be destroyed

I'm starting the activity "B" from the activity "A". When I'm closing the activity B using the back button or method finish(), the activity A is recreating. How can i deny activity to be destroyed?

Activities in android are stored in a Stack called activity-stack, when you go to next Activity it's added to the stack, when you go back you pop last element from stack and nothing points at it any more, so not destroying is just waste of space!
Even if you override the back button to launch previous activity with noHistory or clearTop flag, current activity would be destroyed.
I suggest that you read more on activity lifecycle

Life cycle of Android Activity after pressing Back button

I am little confused between the life cycle of two activities.
Suppose I have Activity A and Activity B.
B is called From A i.e A ----> B.
Now currently B is on the screen and I pressed back button. Here I want know:- is there any memory still available for B(Active) or B's memory is flushed(Inactive).

The following activity call back methods are called, after pressing back button.
onPause()
onStop()
onDestroy()
The activity is destroyed.
And it recreates when launched again. These are the callback methods when it launches again.
onCreate()
onStart()
onResume()

I know the answer is been accepcted, still if this helps someone I am putting it.
When app is opening for the first time, by clicking the Icon
onCreate()
onStart()
onResume()
When home button is pressed
onPause()
onStop()
when app is again opened by clicking the app icon or launched from recent
onRestart()
onStart()
onResume()
when app is opened and then back button is pressed
onPause()
onStop()
onDestroy()

The onDestroy method is called after back press. Then activity will be popped from the Activity back stack.
From docs:
If an activity is paused or stopped, the system can drop the activity from memory by either asking it to finish, or simply killing its process. When it is displayed again to the user, it must be completely restarted and restored to its previous state.
onDestroy() from docs:
The final call you receive before your activity is destroyed. This can happen either because the activity is finishing (someone called finish() on it, or because the system is temporarily destroying this instance of the activity to save space. You can distinguish between these two scenarios with the isFinishing() method.

Activity B will be destroyed and will no longer remain in memory.
For more information please visit the official documentation for android and have a look at the activity life cycle figure.
Once you press the back key the activity's onDestroy() method will be called and the activity will be flushed out of the memory. You will then be required to restart the activity by calling the startActivity() method which will in turn call its onCreate() Method.

I would suggest to refer following link for activity lifecycle
http://stackoverflow.com/a/8516056/3110609
and following link for launch mode of activity.
www.intridea.com/blog/2011/6/16/android-understanding-activity-launchmode

After pressing the back button, Activity B will b destroyed. You see, Android Manages Activities like a Stack(an explanation of a stack). Everytime you start an activity, it pushes into the Activity Stack. So when Activity A calls Activity B, Activity B is now on top of Activity B, and when you press the back button, it also does a pop in the Activity Stack. So in concept, Activity B is gone. Pressing a Home Button is different from pressing back, it pauses the Activity, therefore it still eats a little of the phone's memory.
Here is a good explanation of how Android Manages Activities.

Life cycle called when backpress is pressed to navigate back to the previous activity?

What activity state is called when another activity, in the same application, is launched, and then the backpress button is clicked to navigate back to it?
What lifecylce method is called during the proccess of going back to the previous activity?

onPause() is called in Activity A when it launches Activity B. After the back button is called in Activity B, onResume() is called in Activity A.

What lifecylce method is called during the proccess of going back to
the previous activity?
According to the docs: onPause(), onStop(), and possibly onDestroy(). In addition to the lifecycle documentation, you might want to read the docs on Tasks and Back Stack.