aglattin = it is mean make you cry

But what is the grammar rule please.

Thanks in advance.

Merhaba. First of all I´m not an experienced Turkish teacher . Wait,I´m not a teacher at all ^^ But I will try to explain it .

The origin of the verb is "ağlatmak".As you said it means "to make/get someone cry"
The root of this verb is "ağlamak" and it means "to cry" . Now how to explain... Maybe I should give you more examples so that you can understand by yourself

Yazmak     : to write

Yazdırmak : to make/get someone write
İzlemek     : to watch
İzletmek    : to make/get someone watch
Yapmak     : to do
Yaptırmak  : to make/get someone do
Okumak     : to read
Okutmak    : to make/get someone read
Görüşmek : to meet
Görüştürmek: to make/get someone meet
So as wee see it here,if there is " -dır,-dir,-tır,-tir,-tur,-tür and -t,-d before right before "-mak,-mek it means "to make someone do somethıng"

Sorry I cannot think of anyway else to explain it. I guess these were called "edilgen filler" in Turkish.Maybe you could look that up too. Kendine iyi bak.And try to practice your Turkish as much as you can. The language part of the brain works much faster than other parts. I mean you learn a language faster by speaking it than studying it. I´m sure you saw a lot of people who speak a language properly but do not know the grammatical rules of it.
Just like me ^^ .

Merhaba,

I kindly want to add that the word structure including the root and the suffixes can be defined as "ağla-t-tı-n". Here we have a causative structure in Turkish Language.

In detail,

1."Ağla" is the root of the word (ağlamak)

2.-t is the cusative suffix

3.-tı (-dı is the suffix for simple past tense but there happens a voice change that -d sound converts into -t sound. In short, after the word ending with ç, f, h, k, p, s, ş, t ( hard consonants), instead of -d letter, -t letter is used. So, once the causative suffix -t is added to a word the soft consonant following it changes into a hard one. (-dı into -tı

For example the word "kitap" ends in -p that is hard consonant;

kitap-tır. (not kitap-dır)

or we have the word ağaç ending in -ç which is hard consonant;

ağaç-ta (not ağaç-da)

4.-n is the suffix for third person singular.

Let´s have some more examles in order to clarify the topic;

Sen beni ağla-t-tı-n. You had me cried.

Ben Orhanı  öldür-t-tü-m  (öldürmek = to kill) I had Orhan killed.

Siz evi  boya-t-tı-nız  (boyamak = to paint) You had the house painted.

I hope the instruction above is sufficent enough in order to clarify the issue. 

Wish the best for you all...

Orhan HOCA