# How do you solve for y in #9-y=1.5x#?

##### 1 Answer

Dec 29, 2015

**OR**

#### Explanation:

There are **two** methods for rearranging this equation.

## Term Transaction

- Add
#y# to both sides of the equation:

#9 = 1.5x + y# - Subtract
#1.5x# from both sides of the equation:

#9 - 1.5x = y" or "y = 9 - 1.5x#

Notice that the variables have simply changed places and reversed their signs.

## Multiply through by #-1#

- Subtract 9 from both sides of the equation:

#-y = 1.5x - 9# - Multiply both sides of the equation by
#-1# :

#-1(-y) = -1(1.5x - 9)#

#y = -1.5x + 9" or "y = 9 - 1.5x#