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