how would I go about proving that a set of sets is a subset of a power set?

Question

if Z is a set of sets, there exists a set Y where:

Z is a subset of P(Y)

up till now the only idea that I have is that the power set of Y is a set of sets, so it's like B = P(Y) is a set of sets and I want to prove that Z is a subset of B, but I don't know where to start.

Answer 1

HINT

One approach: what happens if you look at the power set of $Z$ itself?

Another: Look at a simple example list $Z = \{\{1,2\},\{2,3,4\}\}$ and a more complex one $Z = \{\{1,2\},\{\{2,3,4\}\}\}$