[iMore.com]

The Music app in iOS 7 didn't just come with an all new design, it came with an all new bug that's giving some of us trouble with deleting songs. What's supposed to happen is that you swipe a song, it brings up the delete button, and with a tap the song is gone. Unfortunately, for iTunes in the Cloud, that's sometimes not the case. The good news is all iTunes in the Cloud (and iTunes Match music) is safely backed up to Apple's servers. And that means you can fix the Music app bug with the nuclear option!

Full story from the iMore Blog...

[Bias reduX]

As I commented on the story, this did nothing for me. It kept all of my purchased songs and still had my greyed out songs.

I had to set my phone up as a new phone and then restore from a backup to get rid of the bought/greyed out songs.

Also if I tell Siri to shuffle my music she will start playing music that isn't on my phone but is in my cloud, which causes some of the greyed out issues. (I have show all music turned off)