Sure. Compatibilism is not that hard to understand if you just start from the basic idea that compatibilists use the term "free will" to mean a different thing than--I think--you are using it.
When they say "free will" they mean a person took a voluntary action and was not forced to do that action by anything outside of their normal brain operations that interfered with their normal will. Things that might force their actions and therefore make them not free could be:
- A person pointing a gun to one's head, demanding they do something.
- A drug that forces the person to do something.
- A brain tumor that dysregulates their conscious control over their actions.
- A brain stimulating machine that forces certain actions.
- Being physically restrained from taking actions.
In other words, they are using the term "free will" in the same way it is used in a court setting. For example:
Judge: Did you take the money of your own free will?
Defendant: No, your honor. I was hypnotized when I took the money.
But, under normal circumstances, picking out a favorite flavor of ice cream for your cone would be an action they'd say used your free will--because no person, drug, tumor, robot, mind-ray, demon, etc., was forcing you to pick that flavor.
Important to note: Those same compatibilists would also admit that whichever flavor of ice cream you picked would be due to the state of your brain at the moment you picked it, and that that particular state of your brain was due to the previous states of your brain and the world around it, and so you were caused to pick rum raisin by the state of the universe.
But as long as no one had a gun to your ribs whispering "Psst! Pick rum raisin!", they want to call that a free willed action.