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