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-6x=7y+14
Swap sides so that all variable terms are on the left hand side.
\frac{-6x}{-6}=\frac{7y+14}{-6}
Divide both sides by -6.
x=\frac{7y+14}{-6}
Dividing by -6 undoes the multiplication by -6.
x=-\frac{7y}{6}-\frac{7}{3}
Divide 14+7y by -6.
7y=-6x-14
Subtract 14 from both sides.
\frac{7y}{7}=\frac{-6x-14}{7}
Divide both sides by 7.
y=\frac{-6x-14}{7}
Dividing by 7 undoes the multiplication by 7.
y=-\frac{6x}{7}-2
Divide -6x-14 by 7.