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3x-6y-2\left(3x+5y-4\right)-6
Use the distributive property to multiply 3 by x-2y.
3x-6y-6x-10y+8-6
Use the distributive property to multiply -2 by 3x+5y-4.
-3x-6y-10y+8-6
Combine 3x and -6x to get -3x.
-3x-16y+8-6
Combine -6y and -10y to get -16y.
-3x-16y+2
Subtract 6 from 8 to get 2.
3x-6y-2\left(3x+5y-4\right)-6
Use the distributive property to multiply 3 by x-2y.
3x-6y-6x-10y+8-6
Use the distributive property to multiply -2 by 3x+5y-4.
-3x-6y-10y+8-6
Combine 3x and -6x to get -3x.
-3x-16y+8-6
Combine -6y and -10y to get -16y.
-3x-16y+2
Subtract 6 from 8 to get 2.