Did I simplify the boolean expression correctly? I wanted someone to check and make sure that I did this right, I'm hoping that I did but if I didn't, please point me in the right direction of where I went wrong
$\begin{align}&amp;\rm y(x'z+xz')+x(yz+yz')
\\ =\quad &amp;\rm y(x'z+xz')+xy(z+z')&amp;&amp; \text{Distribution}
\\ =\quad &amp;\rm y(x'z+xz')+xy(1)&amp;&amp; \text{Complementation (/Inversion)}
\\ =\quad &amp;\rm x'yz+xyz'+xy &amp;&amp;\text{Distribution and Identity.}
\end{align}$

You were okay up to here, then you went all agley. &nbsp; Instead, the next step should be to distribute out the $y$ factor.

$\begin{align}=\quad &amp;\rm y(x'z+xz'+x) &amp;&amp;\text{Distribution}
\end{align}$

From here your path to the destination should be obvious.
After that : y(x'z+xz'+x)

Replace x with xz+xz'

= y(x'z + xz'+ xz + xz')

= y(x'z + xz'+ xz)

= y(x'z + x(z'+ z))

= y(x'z + x)

= y(x'z + xz + x)

= y(z(x' + x) + x)

= y(z + x)

= yz + yx

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https://cemsina.com/queen/

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