1. ## Solve for Y

X = Y+(Y-Z)AB

What are the steps to simplify this equation and solve for Y?

Thanks

2. Originally Posted by djcomlab
X = Y+(Y-Z)AB

What are the steps to simplify this equation and solve for Y?

Thanks
hints:

1) open bracket and keep terms containing y on either side and shift other term another side
2) take common y from terms containing y
3) divide both side by (product term of y)

e.g. in this sum

$\displaystyle X = Y+(Y-Z)AB$
$\displaystyle X = Y+YAB-ZAB$
$\displaystyle X+ZAB= Y+YAB$
$\displaystyle X+ZAB= Y(1+AB)$
divide both side by (1+AB)
$\displaystyle Y= \frac{X+ZAB}{1+AB}$

3. Bingo! That is awesome!

I got stuck going from this
X+ZAB= Y+YAB

to this
X+ZAB= Y(1+AB)