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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.
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.