Consider a game where you flip three coins and gain or lose points according to the following rules:

• If all three come up heads, you gain 5 points.
• If exactly two come up heads, you gain 3 points.
• If only one comes up heads, you lose 2 points.
• If all three come up tails, you lose 5 points.

What is the expected value (in points) of this game?

Do your work on paper and upload a picture of it. Be sure to clearly indicate your answer.