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10+x-\left(y+x-3-y-\left(-6\right)\right)
To find the opposite of y-6, find the opposite of each term.
10+x-\left(y+x-3-y+6\right)
The opposite of -6 is 6.
10+x-\left(x-3+6\right)
Combine y and -y to get 0.
10+x-\left(x+3\right)
Add -3 and 6 to get 3.
10+x-x-3
To find the opposite of x+3, find the opposite of each term.
10-3
Combine x and -x to get 0.
7
Subtract 3 from 10 to get 7.