This is the 837th most frequent Turkish word.
yapıp
"Yapıp" means "having done" or "doing and" depending on context.
The word 'yapıp' was replaced by 'okuyup' here to emphasize the completion of reading as part of a sequence.
Kitabı okuyup bitirdim.
I read the book and finished it.
The word 'yapıp' reflects simultaneous or sequential actions, here reflecting 'karıştırıp'.
Desteyi karıştırıp dağıttı.
He shuffled the deck and dealt it.
The context illustrates 'yapıp' analogous to 'alıp', showing succession of actions.