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