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10x=8-6y
Subtract 6y from both sides.
\frac{10x}{10}=\frac{8-6y}{10}
Divide both sides by 10.
x=\frac{8-6y}{10}
Dividing by 10 undoes the multiplication by 10.
x=\frac{4-3y}{5}
Divide 8-6y by 10.
6y=8-10x
Subtract 10x from both sides.
\frac{6y}{6}=\frac{8-10x}{6}
Divide both sides by 6.
y=\frac{8-10x}{6}
Dividing by 6 undoes the multiplication by 6.
y=\frac{4-5x}{3}
Divide 8-10x by 6.