Learn Turkish: Fakültenin kayıt sistemi de çok eski. - The faculty's registration system is also very old.

This is a chain noun compound containing three nouns: fakülte (faculty), kayıt (registration), and sistem (system). First, kayıt and sistem form an indefinite compound: kayıt sistemi (registration system). Then, to say 'the faculty's' registration system, we make a definite compound by adding the genitive suffix -nin to fakülte.

Shouldn't there be an extra possessive suffix on sistemi since it belongs to the faculty?

That is a great question! A common B1 trap is trying to add a second possessive suffix, making something like sistemisi. However, in Turkish, a word can only hold one possessive suffix at a time. Sistemi already has the 3rd-person possessive -i to connect it to kayıt. That single -i does double duty, connecting sistem to both kayıt and fakültenin.

Why is de written as a separate word here?

When written as a separate word, de (or da) is a particle meaning 'also' or 'too'. If it were attached to the word as a suffix (sistemide), it would be the locative case meaning 'in the system'. Here, it shows that the registration system is also old, just like something else mentioned previously.

Where is the verb 'is' in this sentence?