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