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2x+3=-4y
Subtract 4y from both sides. Anything subtracted from zero gives its negation.
2x=-4y-3
Subtract 3 from 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+3=-2x
Subtract 2x from both sides. Anything subtracted from zero gives its negation.
4y=-2x-3
Subtract 3 from both sides.
\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.