Expand the rational function

$\frac{1}{(y+4)(y-5)(y+5)}$

as a sum of three partial fractions, each with linear denominators.

Hence or otherwise, evaluate the integral

${\displaystyle \underset{7}{\overset{8}{}}}\frac{1}{(y+4)(y-5)(y+5)}dy$

The partial fraction expansion is

$($Use integers or fractions for any numbers in the expression.$)$