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-2x-3=4y
Swap sides so that all variable terms are on the left hand side.
-2x=4y+3
Add 3 to both sides.
\frac{-2x}{-2}=\frac{4y+3}{-2}
Divide both sides by -2.
x=\frac{4y+3}{-2}
Dividing by -2 undoes the multiplication by -2.
x=-2y-\frac{3}{2}
Divide 4y+3 by -2.
4y=-2x-3
The equation is in standard form.
\frac{4y}{4}=\frac{-2x-3}{4}
Divide both sides by 4.
y=\frac{-2x-3}{4}
Dividing by 4 undoes the multiplication by 4.
y=-\frac{x}{2}-\frac{3}{4}
Divide -2x-3 by 4.