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Preheat oven to 300 degrees.
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In a bowl whisk egg yolk and set aside.
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In a saucepan, heat brown sugar, milk and cream to dissolve sugar.
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Heat just to scalding.
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While cream mixture is heating, dissolve sugar and water over low heat.
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Bring to caramel stage.
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Off heat carefully pour hot cream into it.
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Gently whisk mixture into yolks, stir in salt and vanilla.
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Strain and cool.
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Skim off any air bubbles, divide among six 6 oz ramekins.
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Bake in water bath covered with foil.
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Bake until just set, about 1 hour.
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Allow pudding to cool at room temperature in the water.
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Refrigerate for several hours or overnight.