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-x=\frac{9}{2}-2y
Subtract 2y from both sides.
\frac{-x}{-1}=\frac{\frac{9}{2}-2y}{-1}
Divide both sides by -1.
x=\frac{\frac{9}{2}-2y}{-1}
Dividing by -1 undoes the multiplication by -1.
x=2y-\frac{9}{2}
Divide \frac{9}{2}-2y by -1.
2y=\frac{9}{2}+x
Add x to both sides.
2y=x+\frac{9}{2}
The equation is in standard form.
\frac{2y}{2}=\frac{x+\frac{9}{2}}{2}
Divide both sides by 2.
y=\frac{x+\frac{9}{2}}{2}
Dividing by 2 undoes the multiplication by 2.
y=\frac{x}{2}+\frac{9}{4}
Divide \frac{9}{2}+x by 2.