For the first production x,y are attributes, Such that, x ∈ E and y∈ E'.
Now if you look into the translation closely, E'.y =E.x ( y attribute is taking value from its parent attribute )
E.x =E'.y (x attribute is taking value from one of its child attributes).
For the second production same story goes on and in addition, y is taking values from its parent as well as sibling which left to it (it is L- attributed as well).
So, y follows inherited attribute definition while x follows synthesized attribute definition.
Read more attribute grammar