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