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In frying pan or large saucepan, melt butter over medium heat.
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Stir in flour, cook and stir constantly over lower heat for 2-3 minutes. DO NOT BROWN.
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Slowly whisk in 3 cups of milk.
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Cook and stir over medium heat til thick and low-boiling.
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Low-boil, stirring, for 3-5 minutes.
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In small bowl, mix egg yolks.
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Add, stirring, 2 Tbl. cooked sauce, ONE TBL. AT A TIME, into beaten yolks. Add a bit more sauce, stirring, then slowly whisk into skillet of sauce.
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Whisk in salt and pepper, remove from heat.