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2x^{2}+y+4xy-4x+6-\left(2x^{2}-4x+6\right)
Combine 2y and -y to get y.
2x^{2}+y+4xy-4x+6-2x^{2}+4x-6
To find the opposite of 2x^{2}-4x+6, find the opposite of each term.
y+4xy-4x+6+4x-6
Combine 2x^{2} and -2x^{2} to get 0.
y+4xy+6-6
Combine -4x and 4x to get 0.
y+4xy
Subtract 6 from 6 to get 0.
2x^{2}+y+4xy-4x+6-\left(2x^{2}-4x+6\right)
Combine 2y and -y to get y.
2x^{2}+y+4xy-4x+6-2x^{2}+4x-6
To find the opposite of 2x^{2}-4x+6, find the opposite of each term.
y+4xy-4x+6+4x-6
Combine 2x^{2} and -2x^{2} to get 0.
y+4xy+6-6
Combine -4x and 4x to get 0.
y+4xy
Subtract 6 from 6 to get 0.