There are five boroughs in New York. Each of those boroughs is a county. Manhattan is one of those boroughs and is called New York county. So most address it as: New York (county), New York (state)
If my partner did me wrong; something which really hurted me, then I'll leave her where she stand without saying a word, nor look back in her direction.
But if that's not the case, then one should be respectful of each other and give a reason for leaving.
RE: "I like your profile, tell me more"
Manhattan= New York, NY, USaBrooklyn= Brooklyn, NY, USA
Bronx= Bronx, NY, USA
Queens= Queens, NY, USA
Staten Island= Staten Island, NY, USA
All five of these boroughs are part of New York city.