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3\left(6y^{6}-7x^{4}y^{3}z\right)
Factor out 3.
y^{3}\left(6y^{3}-7x^{4}z\right)
Consider 6y^{6}-7x^{4}y^{3}z. Factor out y^{3}.
3y^{3}\left(6y^{3}-7x^{4}z\right)
Rewrite the complete factored expression.