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0.23x+0.5=y
Swap sides so that all variable terms are on the left hand side.
0.23x=y-0.5
Subtract 0.5 from both sides.
\frac{0.23x}{0.23}=\frac{y-0.5}{0.23}
Divide both sides of the equation by 0.23, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-0.5}{0.23}
Dividing by 0.23 undoes the multiplication by 0.23.
x=\frac{100y-50}{23}
Divide y-0.5 by 0.23 by multiplying y-0.5 by the reciprocal of 0.23.