Suboridiante clauses:

What is the subordinate clause in the sentence:

May the dreams you dream today be tomorrow's dreams come true.

All clauses have their own subjects and verbs, but subordinate clauses cannot be sentences on their own.

In this sentence, there are these clauses:

1. May the dreams...be tomorrow's dreams come true.
and
2. (which) you dream today

The first is the main clause, and the second is the subordinate clause; it's serving as an adjective, modifying the first occurrence of "dreams." It's hard to identify because of the unspoken word "which."