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-6x=3-5y
Subtract 5y from both sides.
\frac{-6x}{-6}=\frac{3-5y}{-6}
Divide both sides by -6.
x=\frac{3-5y}{-6}
Dividing by -6 undoes the multiplication by -6.
x=\frac{5y}{6}-\frac{1}{2}
Divide 3-5y by -6.
5y=3+6x
Add 6x to both sides.
5y=6x+3
The equation is in standard form.
\frac{5y}{5}=\frac{6x+3}{5}
Divide both sides by 5.
y=\frac{6x+3}{5}
Dividing by 5 undoes the multiplication by 5.