Algebra problem

[TheUnderTow]

I'm aware this isn't technically science but I'm hoping there is someone who can help me reading this. I have the below formula where I know a, c, d and e but need to find b. Can anyone advise?

a = b + (bc) + ((bc)d) + e

I thought the solution should be:

b = a / 1 + c +d + cd +e

but this is not working.

Cheers

[Rev. Green]

The next step is to re-write the formula as
a = b(1 + c + cd) + e

Then
(a - e) = b(1 + c + cd)

You should be okay from here.

[fo3nix]

I can confirm Rev's answer.

Perform the following steps:

1) Rearrange to get terms with b all on one side, and terms without b on the other side of the equals sign.

a - e = b + bc + bcd

2) Factor the 'b' term out from the right hand side, to get it on its own.

a - e = b (1 + c + cd)

3) Divide both sides by the bracketed term

(a - e) / (1 + c + cd) = b

[KMGLAMBRETTA]

I think you transposition is not right try

b = a - e / 1 + c + cd