I grew up in Iowa and my nana used to take me to get these all the time!

Cook the ground beef and vegetables: In a large skillet, cook the ground beef over medium heat until browned and no longer pink, about 5-7 minutes. As the beef cooks, use a spatula to break it up into crumbles. Add the chopped green bell pepper and onion to the skillet and cook for an additional 4-5 minutes, until the vegetables are softened. Drain any excess fat.
Make the Sloppy Joe sauce: Once the ground beef and vegetables are cooked, stir in the water, ketchup, Worcestershire sauce, brown sugar, garlic powder, and yellow mustard. Mix everything together until the sauce is well combined with the beef mixture.
Simmer the Sloppy Joes: Reduce the heat to low and let the mixture simmer for about 10-15 minutes, stirring occasionally. The sauce will thicken and develop a rich flavor during this time.
Toast the Texas toast: While the Sloppy Joe mixture is simmering, toast the slices of Texas toast. You can do this by placing the bread slices in the toaster or under the broiler in the oven until golden brown.
Assemble the Sloppy Joes: Once the Sloppy Joe mixture is done, lay out the toasted Texas toast slices. Spoon the beef mixture onto 3 of the slices and top each with a slice of white American cheese. Place the remaining slices of Texas toast on top to form sandwiches.
Serve and enjoy: Serve the Sloppy Joes hot with your favorite sides, such as chips, fries, or a side salad.