Simplify the following functional expressions using Boolean algebra and its identities. List the identity used at each step.

a) y(x' + (x+y)')²
b) x'yz + xz
c) (x' + y + z')' + xy'z' + yz + xyz
d) x(yz + y'z) + xy + x'y + xz
e) xyz'' + (y+z)' + x'y'z
f) z(xy' + z)²(x+y')
g) y(xz' + x'z) + y' (xz' + x'z)
h) x(y'z + y) + x'(y + z')'