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FOR THE CAKE ~ Preheat oven to 450 degrees F.
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Prick yams with a fork in several places, then place on baking sheet & bake until tender, about 45 minutes, then remove from oven to cool.
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When cool enough to handle, peel yams & mash.
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Reduce oven temperature to 350 degrees F, then, with cooking spray, generously coat inside of a 9"x13" baking dish & set aside.
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In a large mixing bowl, whisk together flour, cocoa powder, baking powder, baking soda, cinnamon, salt, nutmeg, allspice & cloves, then set aside.
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In another large mixing bowl, with an electric mixer, beat together mashed yams, granulated sugar, brown sugar & vegetable oil until light & fluffy.
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Beat in egg whites until well combined, then fold in the shredded carrot.
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In a small bowl, stir together buttermilk & carrot juice, then alternately fold this mixture AND the flour mixture into yam mixture, beginning & ending with flour mixture.
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Spoon batter into prepared pan, smoothing the top, then bake 35 minutes, or until a toothpick inserted in the center comes out clean.
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Cool in pan on a wire rack.
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FOR THE GLAZE ~ In a medium bowl, stir together powdered sugar, orange juice & orange zest, then drizzle over cooled cake.