# How do you solve 4y - 1/10 = 3y + 4/5?

Jan 14, 2016

$y = \frac{9}{10}$

#### Explanation:

1. Just combine like terms
$4 y - 3 y = \frac{4}{5} + \frac{1}{10}$, find the LCD
$y = \frac{8 + 1}{10}$
$y = \frac{9}{10}$

Checking:

$4 y - \frac{1}{10} = 3 y + \frac{4}{5}$, plug in the value of $y$
$4 \left(\frac{9}{10}\right) - \frac{1}{10} = 3 \left(\frac{9}{10}\right) + \frac{4}{5}$, simplify
$\frac{36}{10} - \frac{1}{10} = \frac{27}{10} + \frac{4}{5}$, find the LCD
$\frac{35}{10} = \frac{27 + 8}{10}$
$\frac{35}{10} = \frac{35}{10}$