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6\left(4x^{5}yz+6xy^{3}-5y^{5}\right)
Factor out 6.
y\left(4x^{5}z+6xy^{2}-5y^{4}\right)
Consider 4x^{5}yz+6xy^{3}-5y^{5}. Factor out y.
6y\left(4x^{5}z+6xy^{2}-5y^{4}\right)
Rewrite the complete factored expression.