# How do you simplify (2y + 1 )/( y-2)?

Jun 11, 2015

You can do this trick:

$\frac{2 y + 1 - 5 + 5}{y - 2}$

$= \frac{2 y - 4 + 5}{y - 2}$

$= \frac{2 \left(y - 2\right) + 5}{y - 2}$

$= 2 \left(\frac{y - 2}{y - 2}\right) + \frac{5}{y - 2}$

$= 2 + \frac{5}{y - 2}$