I looked into this recently. From what I can tell, no study could show a reduction in deaths from doing mammograms. This is because they detect many cancers that would go away on their own thus unnecessarily exposing you to chemotherapy which brings other health risks. A good starting point on this topic is this video: https://youtu.be/_sg14En-Z7A
I was doubtful about the validity of that video at first, but everything he says is backed up by studies.