How Do You Simplify Complex Boolean Expressions?

[TheTopGun]

Homework Statement

Ok so I'm having trouble simplifying a part of a boolean equation. It needs to be in the form Yt(...)

Homework Equations

note X' means Not X

The part to be simplified is.. Y(NX'Z+NX'+NZ')

The Attempt at a Solution

Using the rules of simplification, particularly A+A=A, A+A'=1, AxA=1
Ive come down to this but I am still unsure if I am on the right track..

Y(NX'Z+NX'+NZ') ... so N + N + N = N, X' + X' = X', Z + Z' = 1
Y(NX'(1))
Y(NX')

Could someone confirm this, or tell me I am completely wrong

Thankyou!

 

[NascentOxygen]

Using the rules of simplification, particularly A+A=A, A+A'=1, AxA=1[/color]

Y(NX'Z+NX'+NZ') ... so N + N + N = N, X' + X' = X', Z + Z' = 1
Y(NX'(1))
Y(NX')

Skip the common term N, you could draw up a truth table for the Z and X parts and see whether your answer checks out.

What does X' Z + X' simplify to?