Express
2y−1(y−3)2\displaystyle \frac{2y-1}{(y-3)^2}(y−3)22y−1
in the form
Ay−3+B(y−3)2\displaystyle \frac{A}{y-3}+\frac{B}{(y-3)^2}y−3A+(y−3)2B
where A A\,A and B B\,B are integers.