The zero product property means that 0a=0.
(I'm assuming that by y2 you mean y squared btw)
\(y^{2} 4y - 32 = 0\)
\(4y - 32 = \frac{0}{ y^{2} }\)
the zero divided by y is zero:
\(4y - 32 = 0\)
move the 4y
\(-32 = 4y\)
\(\frac{-32}{4} = y\)
\(y = -8\)
Hope that helps!