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-x^{2}+6y+3x^{2}-2xy
Combine 3y and 3y to get 6y.
2x^{2}+6y-2xy
Combine -x^{2} and 3x^{2} to get 2x^{2}.
2x^{2}-2xy+6y
Multiply and combine like terms.
2\left(x^{2}-xy+3y\right)
Factor out 2.