This is a solution given for a practice exam I'm working through. However, I don't get where the 1/(-2)-(-0) (the part with the circled numbers in the denominator) came from.
For instance, when I try to do the partial fraction integration, I get something like:
dy/(y(y-2)) = A/y + B/y-2
With solutions y = 2 and y = 0. So I don't really get where the 1/y-0 - 1/y-2 really even came from at all, why they were circled and brought over to the 1/-2 - -0, and how this method even relates to partial fractions. Any help is greatly appreciated.