# How do you solve #1/ 5y - 2/ 3= 6#?

##### 2 Answers

Sep 6, 2017

#### Explanation:

First, let's eliminate the denominators on the left side of the equation. To do this, we will multiply the equation by 15.

Now we can solve for y.

Sep 6, 2017

#y=100/3#

#### Explanation:

Given -

#1/5 y-2/3=6#

Add

#1/5y -2/3+2/3=6 +2/3#

#1/5y cancel(-2/3) cancel(+2/3)=6 +2/3#

#1/5y=6+2/3#

#1/5y=(18+2)/3=20/3#

#1/5 y= 20/3#

Mutiply both sides by 5

#1/5y xx 5=20/30xx5#

#1/cancel5y xx cancel5=20/30xx5=100/3#

#y=100/3#