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-5x=3-2y
Subtract 2y from both sides.
\frac{-5x}{-5}=\frac{3-2y}{-5}
Divide both sides by -5.
x=\frac{3-2y}{-5}
Dividing by -5 undoes the multiplication by -5.
x=\frac{2y-3}{5}
Divide 3-2y by -5.
2y=3+5x
Add 5x to both sides.
2y=5x+3
The equation is in standard form.
\frac{2y}{2}=\frac{5x+3}{2}
Divide both sides by 2.
y=\frac{5x+3}{2}
Dividing by 2 undoes the multiplication by 2.