Should YouTube be allowed to remove music?

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There have been a lot of videos lately who's music has been changed/remove. I think that it is greedy of the RIAA to be allowed to say that you can't have copyrighted music if it is apart of your video (and give proper credits to it, etc). I understand that they have a point if people just uploaded it for the song and they didn't include their original video along with it. What do you think?