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