How does Scout learn to value others by climbing into their own skin?
Scout learns to think of the people as human beings rather than what their background or family history is. Atticus has stressed the importance of looking from other perspectives first before passing judgement on a person.
This is a lesson Scout has learned in Boo Radley's case. At the beginning of the novel, Boo is the abject of scrutiny and curiosity by Scout, Jem, and Dill. They play childish games and challenges that treat Boo Radley as if he is not a human being or in possession of any feelings.
Yet, as events unfold, like Boo leaving little gifts for the children, Scout starts to wonder about the person, not the legend.
Boo's human acts of kindness and courage, like when Scout was cold and he quietly placed a blanket on her, and certainly by saving she and Jem from Ewell's clutches without regard for his consequences, show Scout that he is indeed a human. "Scout starts to realize how hard it must have been for him to come forward into the public eye, especially since the community has been so cruel to him.
Scout has learned that life is not always fair, and that judging a person without considering the circumstances is wrong.