Answer
$(2y-11)(y+9)$
Work Step by Step
For the polynomial
$$
2y^2 +7y -99
$$
we check the factors of $ac=2(-99)=-188$. The only factors that can give the right middle term are $-11$ and $18$, as follows
$$
2y^2 +7y -99
=(2y-11)(y+9)
.$$