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3x=5y-3
The equation is in standard form.
\frac{3x}{3}=\frac{5y-3}{3}
Divide both sides by 3.
x=\frac{5y-3}{3}
Dividing by 3 undoes the multiplication by 3.
x=\frac{5y}{3}-1
Divide 5y-3 by 3.
5y-3=3x
Swap sides so that all variable terms are on the left hand side.
5y=3x+3
Add 3 to both sides.
\frac{5y}{5}=\frac{3x+3}{5}
Divide both sides by 5.
y=\frac{3x+3}{5}
Dividing by 5 undoes the multiplication by 5.