Can you please clarify how are sins are forgiven in Hinduism?

Sins are not forgiven according to Hinduism. But there is a way to dispose your bad karma and get salvation/moksha/Nirvana. That way is through yoga. Patanjali, the great seer, said through Raja yoga the deposit of Karma can be depleted within this lifetime. if you would like to know more I suggest you google "the complete works of Swami Vivekananda" where he has described this in the most interesting way.