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3x+8y=y
Swap sides so that all variable terms are on the left hand side.
3x=y-8y
Subtract 8y from both sides.
3x=-7y
Combine y and -8y to get -7y.
\frac{3x}{3}=-\frac{7y}{3}
Divide both sides by 3.
x=-\frac{7y}{3}
Dividing by 3 undoes the multiplication by 3.
y-8y=3x
Subtract 8y from both sides.
-7y=3x
Combine y and -8y to get -7y.
\frac{-7y}{-7}=\frac{3x}{-7}
Divide both sides by -7.
y=\frac{3x}{-7}
Dividing by -7 undoes the multiplication by -7.
y=-\frac{3x}{7}
Divide 3x by -7.