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