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2\left(-xy^{2}-2y+3xy^{2}\right)
Factor out 2.
y\left(-xy-2+3xy\right)
Consider -xy^{2}-2y+3xy^{2}. Factor out y.
2xy-2
Consider -xy-2+3xy. Multiply and combine like terms.
2\left(xy-1\right)
Consider 2xy-2. Factor out 2.
4y\left(xy-1\right)
Rewrite the complete factored expression.