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-\frac{1}{2}x=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
\frac{-\frac{1}{2}x}{-\frac{1}{2}}=-\frac{y}{-\frac{1}{2}}
Multiply both sides by -2.
x=-\frac{y}{-\frac{1}{2}}
Dividing by -\frac{1}{2} undoes the multiplication by -\frac{1}{2}.
x=2y
Divide -y by -\frac{1}{2} by multiplying -y by the reciprocal of -\frac{1}{2}.
y=\frac{1}{2}x
Add \frac{1}{2}x to both sides. Anything plus zero gives itself.