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For the batter: In the bowl of a stand mixer, combine the yogurt, peaches, brown sugar, cane sugar, canola oil, vanilla and egg. Mix until combined. In a separate medium bowl, whisk together the flour, baking powder and baking soda. Add the dry ingredients to the wet ingredients and mix until just combined.
Fill the prepared muffin cups with batter and divide the crumb topping over each muffin. Bake the muffins until a toothpick inserted in the center comes out with moist crumbs attached, 15 to 18 minutes.
Transfer to a cooling rack and allow to cool completely.