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\frac{-y-1}{2}=x
Swap sides so that all variable terms are on the left hand side.
-\frac{1}{2}y-\frac{1}{2}=x
Divide each term of -y-1 by 2 to get -\frac{1}{2}y-\frac{1}{2}.
-\frac{1}{2}y=x+\frac{1}{2}
Add \frac{1}{2} to both sides.
\frac{-\frac{1}{2}y}{-\frac{1}{2}}=\frac{x+\frac{1}{2}}{-\frac{1}{2}}
Multiply both sides by -2.
y=\frac{x+\frac{1}{2}}{-\frac{1}{2}}
Dividing by -\frac{1}{2} undoes the multiplication by -\frac{1}{2}.
y=-2x-1
Divide x+\frac{1}{2} by -\frac{1}{2} by multiplying x+\frac{1}{2} by the reciprocal of -\frac{1}{2}.
x=-\frac{1}{2}y-\frac{1}{2}
Divide each term of -y-1 by 2 to get -\frac{1}{2}y-\frac{1}{2}.