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