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Preheat oven to 350 degrees F
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Grease and flour 2 - 8 inch round pans
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Sift the flour, baking powder and salt together and set aside
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Using a stand mixer, cream butter and sugar until light and fluffy
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Beat in the egg yolks one at a time
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Stir in the vanilla extract
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On low, alternate mixing in flour and milk just until incorporated (do not over-mix)
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Pour batter into prepared pans
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Bake at 350 degrees F for 25-30 minutes or until a toothpick inserted comes out clean
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Cool before removing from cake pan