Deleting Songs in both ‘MUSC’ and self-created Playlist

Hey guys, i wondering if you had the same issue.
I added songs to MY LIBRARY into the playlist i created called ‘A’, I can see the song in both ‘My music’ playlist and ‘A’ playlist which is good because if I want to browse all my songs, i could just go into ‘MY MUSIC’ playlist which shows all the songs from A,B,C,D etc.
But the thing is, if i delete songs from ‘A’, it still remains in the ‘My music’ play list.
Is there a way that I can delete it from both playlist?