what is in turkish the verb CAN

Thank Bluwy. Let me see if I understood!the verb CAN in turkish is not single word but a suffix, and according to the vowel harmony´s rules it will be ebilmet/abilmek?
if it is so, will the suffix be placed after the root verb? will it follow the change that any verbs has according the personal pronoun?
1- ben pizza yiyebilirim
2-sen pizza yiyebi----¿?

Yup, That's correct. It changes according to the harmony and it follows the root verb.

Let me write down all the possible sentences you could write with "ebilmek-abilmek". ^_^

Ben pizza yiyebilirim. - I can eat pizza.
Sen pizza yiyebilirsin. - You can eat pizza.
O pizza yiyebilir. - He/She/It can eat pizza.
Biz pizza yiyebiliriz. - We can eat pizza.
Siz pizza yiyebilirsiniz. - You can eat pizza.
Onlar pizza yiyebilirler. - They can eat pizza.

Ben pizza yiyebilir miyim? - Can I eat pizza?
Sen pizza yiyebilir misin? - Can you eat pizza?
O pizza yiyebilir mi? - Can she/he/it eat pizza?
Biz pizza yiyebilir miyiz? - Can we eat pizza?
Siz pizza yiyebilir misiniz? - Can you eat pizza?
Onlar pizza yiyebilirler mi? - Can they eat pizza?


yapmak - yapabilmek
içmek - içebilmek
gitmek - gidebilmek
yürümek - yürüyebilmek
konuşmak - konuşabilmek

OHHH MY GOOOOSH :) how am I supose to learn all this for each verb :)
I can not thank you enough for teaching me this issue, i could not find it in any of the websites where I read turkish grammar . ÇOK ÇOK TESEKURLER ARKADAŞ:)

Rica ederim. :D Well once you learn the rules, you'll get used to it. But I also know how difficult it looks. ^^'' You could always try to write down some examples. :D That way we could check them. *_*