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