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5x=9+2y
Swap sides so that all variable terms are on the left hand side.
5x=2y+9
The equation is in standard form.
\frac{5x}{5}=\frac{2y+9}{5}
Divide both sides by 5.
x=\frac{2y+9}{5}
Dividing by 5 undoes the multiplication by 5.
2y=5x-9
Subtract 9 from both sides.
\frac{2y}{2}=\frac{5x-9}{2}
Divide both sides by 2.
y=\frac{5x-9}{2}
Dividing by 2 undoes the multiplication by 2.