This is how we all learned to create an English passive sentence.

They gave him this nickname. > This nickname was given to him.

The basic change is the object taking the position of the grammatical subject.

It works the same way in Turkish:

Ona bu lakabı taktılar. > Ona bu lakap takıldı.

But in English it is possible also to rise another essential modifier of the predicate to the subject position as well, like in

They gave him this nickname. > He was given this nickname.

But you shouldn’t try it in Turkish. It just somehow wouldn’t work. Am I right?

I tried! Here is the forced translations! for "He was given this nickname.":
 

O, bu lakabla adlandırıldı!
O, bu lakabla lakablandırıldı! 
O, bu lakabla sıfatlandırıldı!
O, bu lakabla muttasıf kılındı!

First one can be used, the others seem odd.

Bu lakabı ona taktılar. > Bu lakap ona takıldı. (not to someone else)

Ona bu lakabı taktılar. > Ona bu lakap takıldı. (not any other nickname)

not an expert but I think they have a similar thing in Turkish.

Yes, this is probably as close as we can get. Technically it is a very classical passive construction, though. The causative -DIr- makes o the object and the passive -Il- returns it into a subject. These markings are in the sentence for a reason and you can´t really play with them.

Such a language is Turkish.