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)
$\displaystyle Y= \frac{X+ZAB}{1+AB}$