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