One side or both?

For the first 3 months when I nursed I would burp her in the middle and switch breasts. Since she was spitting up less, I stopped burping her in the middle of feeds and she would only nurse 1 breast and be full. Since doing this, my supply has dramatically gone down. Is it better to feed from both sides, or from 1 breast? I just thought it was very bizarre and now trying to go back to switching her during sessions. What are your thoughts ?