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-8x=2y-10
Swap sides so that all variable terms are on the left hand side.
\frac{-8x}{-8}=\frac{2y-10}{-8}
Divide both sides by -8.
x=\frac{2y-10}{-8}
Dividing by -8 undoes the multiplication by -8.
x=\frac{5-y}{4}
Divide -10+2y by -8.
2y=-8x+10
Add 10 to both sides.
2y=10-8x
The equation is in standard form.
\frac{2y}{2}=\frac{10-8x}{2}
Divide both sides by 2.
y=\frac{10-8x}{2}
Dividing by 2 undoes the multiplication by 2.
y=5-4x
Divide -8x+10 by 2.