# How do you solve the inequality (2(3y+6))/5<5y+1/4?

Dec 6, 2015

$y > \frac{43}{76}$

#### Explanation:

$2 \frac{3 y + 6}{5} < 5 y + \frac{1}{4}$

$\frac{6 y}{5} + \frac{12}{5} < 5 y + \frac{1}{4}$

$5 \left(\frac{6 y}{5} + \frac{12}{5}\right) < \left(5 y + \frac{1}{4}\right) 5$

$6 y + 12 < 25 y + \frac{5}{4}$

$12 < 19 y + \frac{5}{4}$

$\left(12\right) 4 < \left(19 y + \frac{5}{4}\right) 4$

$48 < 76 y + 5$

$43 < 76 y$

$y > \frac{43}{76}$