Question

I'm doing a bit of maths revision before a university degree. Stuck on an algerbra question.

Rearrange the following equation in terms of y:

2x + 3y = 4(x + y)
y =

How do I work this out to get y please?

Answer 1

step 1: distribute right side

2x + 3y = 4x +4y

step 2: combine like terms

2x + 3y = 4x + 4y
-4x -3y -4x -3y
------------------------
-2x = y

step 3: divide by coefficient of y
y/1 = -2x/1

y = -2x

Answer 2

Note: step 3 is really only needed when coefficient is not 1