"Yok" is usually used for you don't have things but these mean the same in some cases. For example;
:"Gelmek ister misin?" ("Do you want to come")
:"Hayır(yok), gelmek istemiyorum" ("No, I don't want to come")
but(usually)
:"Kalemin var mı?" ("Do you have pencil")
:"Hayır, Kalemim yok" ("No, I don't have")