Answer
$\frac{4}{y+4}$
Work Step by Step
$\frac{y^2+8y+16}{2y-4}*\frac{8y-16}{(y+4)^3}=\frac{(y+4)^2}{2y-4}*\frac{4(2y-4)}{(y+4)^3}=$$\frac{4}{y+4}$
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