@collegeqs02 Have you shared your Yale financial aid offer with MIT?
Something else to consider is that you may not even want to go on to grad school. You may want to go straight into the work force after you complete your undergrad.
Also, my son and many of his friends would have been able to pay your yearly tuition bill from the money they earned working a 10 week internship over the summer. There are a lot of opportunities for MIT students.