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-x=2+y
Swap sides so that all variable terms are on the left hand side.
-x=y+2
The equation is in standard form.
\frac{-x}{-1}=\frac{y+2}{-1}
Divide both sides by -1.
x=\frac{y+2}{-1}
Dividing by -1 undoes the multiplication by -1.
x=-\left(y+2\right)
Divide 2+y by -1.
y=-x-2
Subtract 2 from both sides.