Hani derler ya ´ben sensiz yaşayamam´ diye, işte ben onlardan değilim. ´Ben sensiz de yaşarım; ama seninle bir başka yaşarı

There are those who say " I can´t live without you", well I am not one of them. I can live without you too; but it (life) would be different with you. 

A learner try...

 There is a joke hidden here by using play on words.

 The name of the person is " Yaşar " [male name ]

 Yaşamak = to live

" You know , people say " I can´t live without you ", well I am not one of them [the ones that say that]. " I am "Yaşar" without you " but with you I am different " Yaşar" .