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2x=5y-14
The equation is in standard form.
\frac{2x}{2}=\frac{5y-14}{2}
Divide both sides by 2.
x=\frac{5y-14}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{5y}{2}-7
Divide 5y-14 by 2.
5y-14=2x
Swap sides so that all variable terms are on the left hand side.
5y=2x+14
Add 14 to both sides.
\frac{5y}{5}=\frac{2x+14}{5}
Divide both sides by 5.
y=\frac{2x+14}{5}
Dividing by 5 undoes the multiplication by 5.