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6y-\left(x+3y-\left(5x-3x-\left(-4y\right)\right)\right)
To find the opposite of 3x-4y, find the opposite of each term.
6y-\left(x+3y-\left(5x-3x+4y\right)\right)
The opposite of -4y is 4y.
6y-\left(x+3y-\left(2x+4y\right)\right)
Combine 5x and -3x to get 2x.
6y-\left(x+3y-2x-4y\right)
To find the opposite of 2x+4y, find the opposite of each term.
6y-\left(-x+3y-4y\right)
Combine x and -2x to get -x.
6y-\left(-x-y\right)
Combine 3y and -4y to get -y.
6y-\left(-x\right)-\left(-y\right)
To find the opposite of -x-y, find the opposite of each term.
6y+x-\left(-y\right)
The opposite of -x is x.
6y+x+y
The opposite of -y is y.
7y+x
Combine 6y and y to get 7y.
6y-\left(x+3y-\left(5x-3x-\left(-4y\right)\right)\right)
To find the opposite of 3x-4y, find the opposite of each term.
6y-\left(x+3y-\left(5x-3x+4y\right)\right)
The opposite of -4y is 4y.
6y-\left(x+3y-\left(2x+4y\right)\right)
Combine 5x and -3x to get 2x.
6y-\left(x+3y-2x-4y\right)
To find the opposite of 2x+4y, find the opposite of each term.
6y-\left(-x+3y-4y\right)
Combine x and -2x to get -x.
6y-\left(-x-y\right)
Combine 3y and -4y to get -y.
6y-\left(-x\right)-\left(-y\right)
To find the opposite of -x-y, find the opposite of each term.
6y+x-\left(-y\right)
The opposite of -x is x.
6y+x+y
The opposite of -y is y.
7y+x
Combine 6y and y to get 7y.