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4x+3=-2y
Subtract 2y from both sides. Anything subtracted from zero gives its negation.
4x=-2y-3
Subtract 3 from both sides.
\frac{4x}{4}=\frac{-2y-3}{4}
Divide both sides by 4.
x=\frac{-2y-3}{4}
Dividing by 4 undoes the multiplication by 4.
x=-\frac{y}{2}-\frac{3}{4}
Divide -2y-3 by 4.
2y+3=-4x
Subtract 4x from both sides. Anything subtracted from zero gives its negation.
2y=-4x-3
Subtract 3 from both sides.
\frac{2y}{2}=\frac{-4x-3}{2}
Divide both sides by 2.
y=\frac{-4x-3}{2}
Dividing by 2 undoes the multiplication by 2.
y=-2x-\frac{3}{2}
Divide -4x-3 by 2.