[typing]

わたし　の　なまえ　は　マタヤ　です　どうぞ　よろ しく　おねがいします
私＝わたし
私＝I

Watashi no namae wa MaTaYa desu, douzo yoroshiku onegaishimasu
I (ownership) name (?) Matya is. (emphasis) look after me please.

My name is Matya, Nice to meet you.

あなた　の　なまえ　は　なん　です　か
anata no namae wa nan desu ka?
you (ownership) name what is ?

What's your name?

no の is an ownership particle, so watashi no (I "no") is My or Mine.