sen istersen unut beni vefasiz yarim
If you want forget me my disloyal sweetheart!
ben seni bir an olsun unutamadim
But I didn't forget you even for a second.
gözlerimden akan yaslar hep senin icin
All of my tears_coming from my eyes_ are just for you.
ne yaptiysam kara gözlüm unutamadim
I tried but I couldn't forget your black eyes.
vallahi billahi seni unutamadim
I swear to God, that I didn't forget you.
unutamadim unutamadim
I didn't forget, I didn't
basim alip gittin uzak yerlere
[basim alip [I don't know what this phrase means] you went so far away.
hayalinle türkü yaktim dillere
[I don't know what it means]
cok güzeller gördüm gördüm
I met many pretty persons
baktim öylece
ne yaptiysam kara gözlüm unutamadim
But I found out that I can't forget your black eyes.
[I'm not sure about baktim oylece's meaning]
vallahi billahi cano unutamadim
I swaer to God that I didn't forget you honey.
By the way my native language is not Turkish and I'm currently learning it.
I just wanted to try translate it.
Turkish native speakers can help you more.