Explain how cases follow this path, in both the Federal system as well as your home state's system. Show how cases are appealed and for what reasons they may be appealed. How do appellate courts (including the Supreme Court) decide which cases to accept? If a case is selected to have an appeal heard, what actually takes place in that hearing?
Assuming a case is heard by the U.S. Supreme Court, explain how the Justices arrive at, and publish their decision.
Please don't give me just copy and paste answer from wikipedia.