What's the difference between $∀x\,∃y\,L(x, y)$ and $∃y\,∀x\,L(x, y)$? 
*

*Everybody loves somebody. $∀x\,∃y\,L(x, y)$

*There is somebody whom everybody loves. $∃y\,∀x\,L(x, y)$
What's the difference between these two sentences? If they are same, can I switch $\exists y$ and $\forall x$?

I'm late to the party but:  replace "loves somebody" with "has someone as a mother".
Everbody has a mother.
vs.
There is somebody who is everybody's mother.
?????
