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8x=5-6y
Subtract 6y from both sides.
\frac{8x}{8}=\frac{5-6y}{8}
Divide both sides by 8.
x=\frac{5-6y}{8}
Dividing by 8 undoes the multiplication by 8.
x=-\frac{3y}{4}+\frac{5}{8}
Divide 5-6y by 8.
6y=5-8x
Subtract 8x from both sides.
\frac{6y}{6}=\frac{5-8x}{6}
Divide both sides by 6.
y=\frac{5-8x}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{4x}{3}+\frac{5}{6}
Divide 5-8x by 6.