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\frac{1}{25}x-\frac{11}{5}=y
Divide each term of x-55 by 25 to get \frac{1}{25}x-\frac{11}{5}.
\frac{1}{25}x=y+\frac{11}{5}
Add \frac{11}{5} to both sides.
\frac{\frac{1}{25}x}{\frac{1}{25}}=\frac{y+\frac{11}{5}}{\frac{1}{25}}
Multiply both sides by 25.
x=\frac{y+\frac{11}{5}}{\frac{1}{25}}
Dividing by \frac{1}{25} undoes the multiplication by \frac{1}{25}.
x=25y+55
Divide y+\frac{11}{5} by \frac{1}{25} by multiplying y+\frac{11}{5} by the reciprocal of \frac{1}{25}.
\frac{1}{25}x-\frac{11}{5}=y
Divide each term of x-55 by 25 to get \frac{1}{25}x-\frac{11}{5}.
y=\frac{1}{25}x-\frac{11}{5}
Swap sides so that all variable terms are on the left hand side.