My name in English is Debbie. Here's my best guess at how I would write my name in Russian:
Меня зовут Деби.
If I just type out all the letters in the English version of my name and then change them all to the Russian characters, I would get "Деббие," but I'm not sure whether the "бб" together, and especially the vowels "ие" together would still be pronounced the same way. (I think the letters I typed out in Russian for my name above would spell "Debi" in the English alphabet, and this actually is another way that some people named Debbie spell their name in English).