y/n could mean:
The abbreviation to "Your name", usually used in fanfics in such. Sometimes the reader, sometimes a self-insert OC.
Or, in slang terms,
The abbreviation of, "Young Nigga", usually referring to a person.
(Term 1), Hello Y/N! How are you doing today?
(Y/N is usually replaced with a name, whether it's yours or an OC's.)
(Term 2), Yo, wassup my y/n? How ya' doin?