A problem by Dick He

Level pending

y-x=-10
zy^2=x+56
y<w<x<z
yz=x+22
y=w-3
x-5=w+y
What is w+x+y+z=?
NOTE: The first solution, my solution, is a bit out-dated because I modified this question so it would become even more difficult. Also if you find an actual answer that is considered wrong please leave it in the solution "chatroom" and I will add another equation to focus down to the only solution I have in mind.

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