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Verified Answer :

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!