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2-\left(4-x-\left(-4y\right)+2x-y-x+y\right)
To find the opposite of x-4y, find the opposite of each term.
2-\left(4-x+4y+2x-y-x+y\right)
The opposite of -4y is 4y.
2-\left(4+x+4y-y-x+y\right)
Combine -x and 2x to get x.
2-\left(4+x+3y-x+y\right)
Combine 4y and -y to get 3y.
2-\left(4+3y+y\right)
Combine x and -x to get 0.
2-\left(4+4y\right)
Combine 3y and y to get 4y.
2-4-4y
To find the opposite of 4+4y, find the opposite of each term.
-2-4y
Subtract 4 from 2 to get -2.
2-\left(4-x-\left(-4y\right)+2x-y-x+y\right)
To find the opposite of x-4y, find the opposite of each term.
2-\left(4-x+4y+2x-y-x+y\right)
The opposite of -4y is 4y.
2-\left(4+x+4y-y-x+y\right)
Combine -x and 2x to get x.
2-\left(4+x+3y-x+y\right)
Combine 4y and -y to get 3y.
2-\left(4+3y+y\right)
Combine x and -x to get 0.
2-\left(4+4y\right)
Combine 3y and y to get 4y.
2-4-4y
To find the opposite of 4+4y, find the opposite of each term.
-2-4y
Subtract 4 from 2 to get -2.