I have one class that I put the Boolean in, but I need to use it in a different class. Can anyone tell me what to do to get the boolean to work for the other classes too?
public class playbutton extends Actor
{
public boolean on = false;

public void draw(Batch batch, float parentAlpha)
{
if (on == true)`

First of all check this post, we discourage screenshots of code and/or errors so please post code in future instead of screenshot.
From screenshot on is non-static data member of playbutton class. You can't use non-static data member in all class.
You need an object of playbutton, if you want to access any non-static data member.
playbutton x=new playbutton();
x.on=true;
I'll recommend you to follow naming conventions in java for better coding experience.