iPod 6th Gen

How do I delete songs from my play list on my iPod Touch 6th Gen? I was having the same issue with my old iPod. I used to be able to just click on songs and delete them. I was given the option to just delete from a playlist or from my library. I've tried everything. Everything I try to uncheck in the summery comes up with a warning that all my songs will be deleted and a sync from the computer will happen from old lists. Help!