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-2.3x+52.86=y
Swap sides so that all variable terms are on the left hand side.
-2.3x=y-52.86
Subtract 52.86 from both sides.
\frac{-2.3x}{-2.3}=\frac{y-52.86}{-2.3}
Divide both sides of the equation by -2.3, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-52.86}{-2.3}
Dividing by -2.3 undoes the multiplication by -2.3.
x=-\frac{10y}{23}+\frac{2643}{115}
Divide y-52.86 by -2.3 by multiplying y-52.86 by the reciprocal of -2.3.