You shouldn't be prejudiced against your own race.
Bill sees a racist post on his social media account and gets very upset about it.
Bill wants to respond to the racist post.
Bill responds to the author of the racist post by telling him that he feels sorry for him, and it must be difficult to live with so much hatred.
Bill responds by saying that it is the people of his race who are the problem in the world and that he wishes he was of a different race.
Bill hasn't marginalized any groups of people, and he feels good that maybe he at least gave the author of the racist post something to think about.
Bill realizes that what he just posted was no better than the original, racist post because he has made a generalization about a whole group of people, based on race.