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-0.013x+0.117=y
Swap sides so that all variable terms are on the left hand side.
-0.013x=y-0.117
Subtract 0.117 from both sides.
\frac{-0.013x}{-0.013}=\frac{y-0.117}{-0.013}
Divide both sides of the equation by -0.013, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-0.117}{-0.013}
Dividing by -0.013 undoes the multiplication by -0.013.
x=-\frac{1000y}{13}+9
Divide y-0.117 by -0.013 by multiplying y-0.117 by the reciprocal of -0.013.