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3x-\left(6y-2x-\left(6+x\right)-\left(-x+y\right)\right)
Combine 5y and y to get 6y.
3x-\left(6y-2x-6-x-\left(-x+y\right)\right)
To find the opposite of 6+x, find the opposite of each term.
3x-\left(6y-3x-6-\left(-x+y\right)\right)
Combine -2x and -x to get -3x.
3x-\left(6y-3x-6-\left(-x\right)-y\right)
To find the opposite of -x+y, find the opposite of each term.
3x-\left(5y-3x-6-\left(-x\right)\right)
Combine 6y and -y to get 5y.
3x-5y-\left(-3x\right)-\left(-6\right)-\left(-\left(-x\right)\right)
To find the opposite of 5y-3x-6-\left(-x\right), find the opposite of each term.
3x-5y+3x-\left(-6\right)-\left(-\left(-x\right)\right)
The opposite of -3x is 3x.
6x-5y-\left(-6\right)-\left(-\left(-x\right)\right)
Combine 3x and 3x to get 6x.
6x-5y+6-\left(-\left(-x\right)\right)
The opposite of -6 is 6.
6x-5y+6-x
Multiply -1 and -1 to get 1.
5x-5y+6
Combine 6x and -x to get 5x.
3x-\left(6y-2x-\left(6+x\right)-\left(-x+y\right)\right)
Combine 5y and y to get 6y.
3x-\left(6y-2x-6-x-\left(-x+y\right)\right)
To find the opposite of 6+x, find the opposite of each term.
3x-\left(6y-3x-6-\left(-x+y\right)\right)
Combine -2x and -x to get -3x.
3x-\left(6y-3x-6-\left(-x\right)-y\right)
To find the opposite of -x+y, find the opposite of each term.
3x-\left(5y-3x-6-\left(-x\right)\right)
Combine 6y and -y to get 5y.
3x-5y-\left(-3x\right)-\left(-6\right)-\left(-\left(-x\right)\right)
To find the opposite of 5y-3x-6-\left(-x\right), find the opposite of each term.
3x-5y+3x-\left(-6\right)-\left(-\left(-x\right)\right)
The opposite of -3x is 3x.
6x-5y-\left(-6\right)-\left(-\left(-x\right)\right)
Combine 3x and 3x to get 6x.
6x-5y+6-\left(-\left(-x\right)\right)
The opposite of -6 is 6.
6x-5y+6-x
Multiply -1 and -1 to get 1.
5x-5y+6
Combine 6x and -x to get 5x.