Apple Music organizing "songs" tab.

Hello,

I searched for an answer but no love.....I used my pc to upload some songs that I have on it to my iPhone that has apple music. That seems to be working I can play the songs on my iPhone which is great. My problem I created playlists because I have songs from a couple different albums and wanted separate them at the same time I wanted to remove the songs from the "song" tab but keep the songs in my playlists. This way I can add some more songs and do the same thing over again. Unfortunately it seems whenever I remove the song from the "songs" tab it also removes it from my playlist. Basically what I want to do is add songs from my pc to my phone and I'm using the playlists like folders to keep the songs organized. Any help would be much appreciated thanks in advance Justine.