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8x-5=1y
Swap sides so that all variable terms are on the left hand side.
8x=1y+5
Add 5 to both sides.
8x=y+5
Reorder the terms.
\frac{8x}{8}=\frac{y+5}{8}
Divide both sides by 8.
x=\frac{y+5}{8}
Dividing by 8 undoes the multiplication by 8.
y=8x-5
Reorder the terms.