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5\left(y+3y^{3}z-2yz^{2}\right)
Factor out 5.
y\left(1+3y^{2}z-2z^{2}\right)
Consider y+3y^{3}z-2yz^{2}. Factor out y.
5y\left(1+3y^{2}z-2z^{2}\right)
Rewrite the complete factored expression.