How to get rid of songs on my iPhone?

When I downloaded ios7, I also accidentally downloaded icloud, and now I have my whole family's music library on my phone. If I delete the song then it comes up with a little cloud icon, and it never goes off the tracks list. Is there a way I can either get rid of icloud or get the songs I don't want off my list?

Go to the Settings app. Then in the main view scroll down till you see "iTunes & App Store." Inside turn off the section that says "Show All" and has on/off switches for Music and Videos.

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