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Preheat oven to 425°F
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Spray 8-inch-square baking dish with nonstick cooking spray.
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Bring the water to a boil in a small saucepan.
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Add the ground flax seed, reduce the heat to medium-low, and simmer the ground flax seed in the water for 3 minutes or until thickened, stirring occasionally.
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Set aside.
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In a medium bowl, whisk together the flour, cornmeal, sugar, baking powder, and salt until well-combined.
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Add the ground flax seed mixture, soy milk, and canola oil to the flour mixture.
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Beat just until smooth (do not overbeat.)
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Turn into prepared baking pan. Bake for 20 to 25 minutes, or until a toothpick inserted in the middle comes out clean.
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Cool on wire rack 10 minutes; invert cornbread onto wire rack, then turn right side up and continue to cool until warm, about 10 minutes longer.