In a large stock pot or Dutch oven, add the corned beef brisket along with spice packet and bay leaves. Cover everything with water.

Bring the liquid to a boil, then down to a simmer, and cover. Cook the brisket for 2 ½ to 3 hours (about 50 minutes per pound of brisket).

Add the potatoes and carrots to the pot, and cook for 10 to 15 minutes, until almost tender. Add the cabbage and cook for another 15 minutes, until tender.

Transfer the brisket to a cutting board and the vegetables to a separate serving plate. Slice the brisket against the grain and serve with the potatoes, carrots, and cabbage.