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8x+6=-3y
Subtract 3y from both sides. Anything subtracted from zero gives its negation.
8x=-3y-6
Subtract 6 from both sides.
\frac{8x}{8}=\frac{-3y-6}{8}
Divide both sides by 8.
x=\frac{-3y-6}{8}
Dividing by 8 undoes the multiplication by 8.
x=-\frac{3y}{8}-\frac{3}{4}
Divide -3y-6 by 8.
3y+6=-8x
Subtract 8x from both sides. Anything subtracted from zero gives its negation.
3y=-8x-6
Subtract 6 from both sides.
\frac{3y}{3}=\frac{-8x-6}{3}
Divide both sides by 3.
y=\frac{-8x-6}{3}
Dividing by 3 undoes the multiplication by 3.
y=-\frac{8x}{3}-2
Divide -8x-6 by 3.