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8x=2y-2
Subtract 2 from both sides.
\frac{8x}{8}=\frac{2y-2}{8}
Divide both sides by 8.
x=\frac{2y-2}{8}
Dividing by 8 undoes the multiplication by 8.
x=\frac{y-1}{4}
Divide -2+2y by 8.
2y=8x+2
Swap sides so that all variable terms are on the left hand side.
\frac{2y}{2}=\frac{8x+2}{2}
Divide both sides by 2.
y=\frac{8x+2}{2}
Dividing by 2 undoes the multiplication by 2.
y=4x+1
Divide 8x+2 by 2.