Question: How to simplify results for human reading?

As an intermediate result in a longer calculation I got the following equation:

a*(p-ps)+b*(p-ps-b*ys/a+E-ys) = 0

Isolating p, Maple delivers

isolate(a*(p-ps)+b*(p-ps-b*ys/a+E-ys) = 0,p)

 

Calculated manually, I get the equivalent, but much simpler result

p = ps+b*ys/a-b*E/(a+b)

after using

b+b^2/a=(a+b)*b/a

 

With testeq Maple agrees, that it is the same result.

But how do I get Maple to show the much simpler form by itself? I tried a lot with different functions (convert, collect, simplify, ...) but cold not reach this.

 

 

 

 

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