Happy new year, may you have peace and joy all your life. How to say it in Russian?

Happy New Year According to Russian custom, it means to congratulate the New Year.

The last sentence is "you" (тебе).

The next sentence is "you" (вам).

If you are not a very familiar person, you must be used, not you. People who know you very well use "you"

С Новым Годом! Желаю тебе всю жизнь благополучно радовать!

С Новым Годом! Желаю вам всю жизнь благополучно радовать!