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\frac{1}{5}x+4.4=y
Swap sides so that all variable terms are on the left hand side.
\frac{1}{5}x=y-4.4
Subtract 4.4 from both sides.
\frac{1}{5}x=y-\frac{22}{5}
The equation is in standard form.
\frac{\frac{1}{5}x}{\frac{1}{5}}=\frac{y-\frac{22}{5}}{\frac{1}{5}}
Multiply both sides by 5.
x=\frac{y-\frac{22}{5}}{\frac{1}{5}}
Dividing by \frac{1}{5} undoes the multiplication by \frac{1}{5}.
x=5y-22
Divide y-\frac{22}{5} by \frac{1}{5} by multiplying y-\frac{22}{5} by the reciprocal of \frac{1}{5}.