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14x+38=9y
Swap sides so that all variable terms are on the left hand side.
14x=9y-38
Subtract 38 from both sides.
\frac{14x}{14}=\frac{9y-38}{14}
Divide both sides by 14.
x=\frac{9y-38}{14}
Dividing by 14 undoes the multiplication by 14.
x=\frac{9y}{14}-\frac{19}{7}
Divide 9y-38 by 14.
9y=14x+38
The equation is in standard form.
\frac{9y}{9}=\frac{14x+38}{9}
Divide both sides by 9.
y=\frac{14x+38}{9}
Dividing by 9 undoes the multiplication by 9.