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-0.098x+15.1=y
Swap sides so that all variable terms are on the left hand side.
-0.098x=y-15.1
Subtract 15.1 from both sides.
\frac{-0.098x}{-0.098}=\frac{y-15.1}{-0.098}
Divide both sides of the equation by -0.098, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-15.1}{-0.098}
Dividing by -0.098 undoes the multiplication by -0.098.
x=\frac{7550-500y}{49}
Divide y-15.1 by -0.098 by multiplying y-15.1 by the reciprocal of -0.098.