Simplification of logical expression

I have solved some questions of simplification of logical expressions, but I have felt some difficulty in simplifying them.

Like this below:

iresolution

I was given this logic circuit shown in the figure so that I discovered the most simplified output possible. I got to the result shown, applying Morgan's law in the last league, first expression.

But I'm unsure if this is really simplified and if it is simplified in the right way.

Is there another way?

Is the expression this correct or has the applied law been mistaken?

Author: Dwcleb, 2018-10-01