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-\frac{1}{8}x+6=y
Swap sides so that all variable terms are on the left hand side.
-\frac{1}{8}x=y-6
Subtract 6 from both sides.
\frac{-\frac{1}{8}x}{-\frac{1}{8}}=\frac{y-6}{-\frac{1}{8}}
Multiply both sides by -8.
x=\frac{y-6}{-\frac{1}{8}}
Dividing by -\frac{1}{8} undoes the multiplication by -\frac{1}{8}.
x=48-8y
Divide y-6 by -\frac{1}{8} by multiplying y-6 by the reciprocal of -\frac{1}{8}.