My music won't transfer from my library to my iphone

I have an iPhone 4S. I took music from a shared computer of mine(my dad has the latest itouch) and then i put it into my library and then tried to put it from my library onto my iphone. When i tried this, it goes on there and its grey and has a little sync symbol to the left of the song. Can anyone help? I need this done! Lol

Should be syncing to your phone.

Make sure your computer is authorized if it's purchase content

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