There are many benefits to having a regular yoga practice. Even science has shown that those who practice yoga have noticeable stress reduction. 

A consistent yoga practice brings your mind and body into the present, increasing your mind/body awareness. When we have greater mind/body awareness we can better identify thoughts and feelings, physical or emotional, making us better capable of how to release attachments and move through those feelings with ease. 

Yoga and pranayama can take us out of our sympathetic nervous system (fight/flight/freeze) and bring us back to that wonderful relaxing state of the parasympathetic nervous system (rest/digest), improving our mood effectively. 

And that is how we reduce our stress responses and give ourselves the tools to think clearly.