Answer
$-5y(y-2)(y+2)$
Work Step by Step
Factor out $-5y$ to obtain:
$=-5y(y^2-4)$
Write $4$ as $2^2$ to obtain:
$=-5y(y^2-2^2)$
The binomial is a difference of two squares.
RECALL:
A difference of two squares can be factored using the formula:
$a^2-b^2=(a-b)(a+b)$
Factor the difference of two squares using the formula above with $a=y$ and $b=2$ to obtain:
$=-5y(y-2)(y+2)$