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0.688y+826.96=x
Swap sides so that all variable terms are on the left hand side.
0.688y=x-826.96
Subtract 826.96 from both sides.
\frac{0.688y}{0.688}=\frac{x-826.96}{0.688}
Divide both sides of the equation by 0.688, which is the same as multiplying both sides by the reciprocal of the fraction.
y=\frac{x-826.96}{0.688}
Dividing by 0.688 undoes the multiplication by 0.688.
y=\frac{125x}{86}-\frac{51685}{43}
Divide x-826.96 by 0.688 by multiplying x-826.96 by the reciprocal of 0.688.