# How do you solve for y #9x + 3y - 5 = 6x - 9y + 10#?

##### 1 Answer

#### Explanation:

Your goal here is to isolate

This implies that you need to have all the

#9x + 3y - 5 = 6x - 9y + 10#

Start by adding

#9x + 3y - color(red)(cancel(color(black)(5))) + color(red)(cancel(color(black)(5))) = 6x - 9y + 10 + 5#

#9x + 3y = 6x - 9y + 15#

Next, add

#9x + 3y + 9y = 6x - color(red)(cancel(color(black)(9y))) + color(red)(cancel(color(black)(9y))) + 15#

#9x + 12y = 6x + 15#

Next, add

#color(red)(cancel(color(black)(9x))) - color(red)(cancel(color(black)(9x))) + 12y = 6x - 9x + 15#

#12y = -3x + 15#

Finally, divide both sides by

#(color(red)(cancel(color(black)(12)))y)/color(red)(cancel(color(black)(12))) = (-3x + 15)/12#

#y = color(green)((5-x)/4)#