Prepare the Soup Stock: Simmer water, anchovies, and kelp for 15 minutes. Discard solids.
Mix the Sauce: Combine all sauce ingredients in a bowl.
Cook the Base: Add 3 cups of stock, sauce mixture, onions, and leeks to a wok. Simmer for 5 minutes.
Add Main Ingredients: Stir in rice cakes, fish cakes, eggs, and optional cabbage. Cook for 15 minutes until the sauce thickens.
Serve: Enjoy as-is or with additional noodles like ramen or udon.