Brussels Sprout Hash with Caramelized Shallots

Ingredients:
6 tablespoons (3/4 stick) butter, divided
1/2 pound shallots, thinly sliced
Coarse kosher salt
2 tablespoons apple cider vinegar
4 teaspoons sugar
1 1/2 pounds brussels sprouts, trimmed
3 tablespoons extra-virgin olive oil
1 cup water

Directions:
Melt 3 tablespoons butter in medium skillet over medium heat.
Add shallots; sprinkle with coarse kosher salt and pepper.
Sauté until soft and golden, about 10 minutes.
Add vinegar and sugar.
Stir until brown and glazed, about 3 minutes.

Halve brussels sprouts lengthwise.
Cut lengthwise into thin (1/8-inch) slices.
Heat oil in large skillet over medium-high heat.
Add sprouts; sprinkle with salt and pepper.
Sauté until brown at edges, 6 minutes.
Add 1 cup water and 3 tablespoons butter.
Sauté until most of water evaporates and sprouts are tender but still bright green, 3 minutes. Add shallots; season with salt and pepper.