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y\left(y^{2}-8y+16\right)
Factor out y.
\left(y-4\right)^{2}
Consider y^{2}-8y+16. Use the perfect square formula, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, where a=y and b=4.
y\left(y-4\right)^{2}
Rewrite the complete factored expression.