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-10x=5-3y
Subtract 3y from both sides.
\frac{-10x}{-10}=\frac{5-3y}{-10}
Divide both sides by -10.
x=\frac{5-3y}{-10}
Dividing by -10 undoes the multiplication by -10.
x=\frac{3y}{10}-\frac{1}{2}
Divide 5-3y by -10.
3y=5+10x
Add 10x to both sides.
3y=10x+5
The equation is in standard form.
\frac{3y}{3}=\frac{10x+5}{3}
Divide both sides by 3.
y=\frac{10x+5}{3}
Dividing by 3 undoes the multiplication by 3.