A level Maths Implicit Differentiation question

I need to differentiate (x - y)^4 = x + y + 5

So far I have got:
4(x - y)^3(1 - dy/dx) = dy/dx + 1
What do I do from here to get dy/dx as the subject?

I have thought about doing
4(x - y)^3 = (dy/dx + 1) / (1 - dy/dx)
but I don't know where to go from here.

it is easier to keep both dy/dx terms on the top...

let us call 4(x - y)³ something like W

W(1 - dy/dx) = dy/dx + 1

W - W dy/dx = dy/dx + 1

dy/dx (1 + W) = W - 1

etc

Thank youuuuuu you explained it really well