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