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6x+14y=y
Swap sides so that all variable terms are on the left hand side.
6x=y-14y
Subtract 14y from both sides.
6x=-13y
Combine y and -14y to get -13y.
\frac{6x}{6}=-\frac{13y}{6}
Divide both sides by 6.
x=-\frac{13y}{6}
Dividing by 6 undoes the multiplication by 6.
y-14y=6x
Subtract 14y from both sides.
-13y=6x
Combine y and -14y to get -13y.
\frac{-13y}{-13}=\frac{6x}{-13}
Divide both sides by -13.
y=\frac{6x}{-13}
Dividing by -13 undoes the multiplication by -13.
y=-\frac{6x}{13}
Divide 6x by -13.