# How do you solve the inequality 8y-15 <27+2y?

##### 1 Answer
Nov 30, 2015

$y < 7$

#### Explanation:

Rule 1 for inequality manipulation:
you can add or subtract the same amount to both sides of an inequality without effecting the validity or orientation of the inequality.

Rule 2 for inequality manipulation:
You can also multiply or divide both sides of an inequality by any amount greater than zero without effecting the validity or orientation of the inequality.

Given
$\textcolor{w h i t e}{\text{XXX}} 8 y - 15 < 27 + 2 y$

Subtract $2 y$ from both sides:
$\textcolor{w h i t e}{\text{XXX}} 6 y - 15 < 27$

Add $15$ to both sides:
$\textcolor{w h i t e}{\text{XXX}} 6 y < 42$

Dividing both sides by $6$
$\textcolor{w h i t e}{\text{XXX}} y < 42$