The word for July 4th is:
Independent /ˌindəˈpendənt/: [adjective]
1.1 Free from outside control; not depending an outside authority.
1.2 Not depending on another for livelihood or subsistence.
1.3 Capable of thinking or acting for one’s self.
1.4Not connected with anyone or anything.
Early 17th century (as an adjective): partly on the pattern of French indépendant.