Welcome to Android Central! Does it only say "Unfortunately Google Play has stopped working," or does it specifically say "Google Play Services has stopped working"? Or is it some other Google Play app, like the Play Store, Google Play Games, etc.?
For other recent posters in this thread who have been having issues, does it still happen in Safe Mode? On most Android devices, while powered on, press and hold Power until the Power Off menu appears. Press and hold the Power Off selection until the Safe Mode prompt appears. Tap OK. (For the Note5 and other Samsung devices, follow these steps instead:
https://support.t-mobile.com/docs/DOC-27639)
If the problem disappears in Safe Mode, then something you installed is causing the problem. You may have to uninstall apps one by one until the problem disappears. If the problem persists in Safe Mode, then it's more likely to be a hardware or firmware problem.