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14-14x=6y-12
Subtract 7 from 21 to get 14.
-14x=6y-12-14
Subtract 14 from both sides.
-14x=6y-26
Subtract 14 from -12 to get -26.
\frac{-14x}{-14}=\frac{6y-26}{-14}
Divide both sides by -14.
x=\frac{6y-26}{-14}
Dividing by -14 undoes the multiplication by -14.
x=\frac{13-3y}{7}
Divide 6y-26 by -14.
14-14x=6y-12
Subtract 7 from 21 to get 14.
6y-12=14-14x
Swap sides so that all variable terms are on the left hand side.
6y=14-14x+12
Add 12 to both sides.
6y=26-14x
Add 14 and 12 to get 26.
\frac{6y}{6}=\frac{26-14x}{6}
Divide both sides by 6.
y=\frac{26-14x}{6}
Dividing by 6 undoes the multiplication by 6.
y=\frac{13-7x}{3}
Divide 26-14x by 6.