If you disagree with a decision by the Social Security Administration, you can appeal it. That means you can ask the agency to look at your case again. There are four levels of appeal. If you are not satisfied with the decision at one level, you may appeal to the next. Social Security will send you letters informing you of its decisions--you have 60 days after that to request an appeal. Hearings do not occur at the first level and often take place over a year after the initial request is filed.