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6x+24=-4y
Subtract 4y from both sides. Anything subtracted from zero gives its negation.
6x=-4y-24
Subtract 24 from both sides.
\frac{6x}{6}=\frac{-4y-24}{6}
Divide both sides by 6.
x=\frac{-4y-24}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{2y}{3}-4
Divide -4y-24 by 6.
4y+24=-6x
Subtract 6x from both sides. Anything subtracted from zero gives its negation.
4y=-6x-24
Subtract 24 from both sides.
\frac{4y}{4}=\frac{-6x-24}{4}
Divide both sides by 4.
y=\frac{-6x-24}{4}
Dividing by 4 undoes the multiplication by 4.
y=-\frac{3x}{2}-6
Divide -6x-24 by 4.