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23x-7.5=1y
Swap sides so that all variable terms are on the left hand side.
23x=1y+7.5
Add 7.5 to both sides.
23x=y+7.5
Reorder the terms.
\frac{23x}{23}=\frac{y+7.5}{23}
Divide both sides by 23.
x=\frac{y+7.5}{23}
Dividing by 23 undoes the multiplication by 23.
x=\frac{y}{23}+\frac{15}{46}
Divide y+7.5 by 23.
y=23x-7.5
Reorder the terms.