In a large cast-iron or other heavy skillet, cook beef, carrots and onion over medium heat until beef is no longer pink and carrots are crisp-tender, 7-9 minutes, crumbling beef; drain. , Add water, cabbage, mushrooms, green pepper, soy sauce and contents of seasoning packet from noodles. Break noodles into small pieces; add to pan. Cover and cook until liquid is absorbed and noodles are tender, 8-10 minutes.