Question

17. a(y + c) = b(y - c)
How do I isolate y?

Answer 1

Expand the products on both sides:

`a(y+c)=b(y-c) \implies ay+ac=by-bc`

Move all terms containing y to one side:

`ay+ac=by-bc \implies ay-by=-ac-bc`

Factor out y :

`ay-by=-ac-bc \implies y(a-b)=-ac-bc`

Solve for y :

`y(a-b)=-ac-bc \implies y=(-ac-bc)/(a-b)=-(c(a+b))/(a-b)=(c(a+b))/(b-a)`