How do you solve the equation for y: #2x + 3(y + 9) = 17#?

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Answer 1 · 2015-07-14T23:19:21

The answer is #y=-2/3(x+5)#.

#2x+3(y+9)=17#

Use the distributive property to multiply #3# times #(y+9)#.

#2x+3y+27=17#

Subtract #27# from both sides.

#2x+3y=17-27# =

#2x+3y=-10#

Subtract #2x# from both sides.

#3y=-2x-10#

Factor #-2# from #(-2x-10)#

#3y=-2(x+5)#

Divide both sides by #3#.

#y=-2/3(x+5)#