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8\left(x-0\right)=y-1
Swap sides so that all variable terms are on the left hand side.
8x=y-1
Reorder the terms.
\frac{8x}{8}=\frac{y-1}{8}
Divide both sides by 8.
x=\frac{y-1}{8}
Dividing by 8 undoes the multiplication by 8.
y=8\left(x-0\right)+1
Add 1 to both sides.
y=8x+1
Reorder the terms.