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6x^{2}-4xy-2y-4\left(2x^{2}-xy-y\right)
Use the distributive property to multiply 2 by 3x^{2}-2xy-y.
6x^{2}-4xy-2y-8x^{2}+4xy+4y
Use the distributive property to multiply -4 by 2x^{2}-xy-y.
-2x^{2}-4xy-2y+4xy+4y
Combine 6x^{2} and -8x^{2} to get -2x^{2}.
-2x^{2}-2y+4y
Combine -4xy and 4xy to get 0.
-2x^{2}+2y
Combine -2y and 4y to get 2y.
6x^{2}-4xy-2y-4\left(2x^{2}-xy-y\right)
Use the distributive property to multiply 2 by 3x^{2}-2xy-y.
6x^{2}-4xy-2y-8x^{2}+4xy+4y
Use the distributive property to multiply -4 by 2x^{2}-xy-y.
-2x^{2}-4xy-2y+4xy+4y
Combine 6x^{2} and -8x^{2} to get -2x^{2}.
-2x^{2}-2y+4y
Combine -4xy and 4xy to get 0.
-2x^{2}+2y
Combine -2y and 4y to get 2y.