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25x=y-5
Subtract 5 from both sides.
\frac{25x}{25}=\frac{y-5}{25}
Divide both sides by 25.
x=\frac{y-5}{25}
Dividing by 25 undoes the multiplication by 25.
x=\frac{y}{25}-\frac{1}{5}
Divide y-5 by 25.
y=25x+5
Swap sides so that all variable terms are on the left hand side.