Heat the olive oil in a large heavy bottom pot over medium heat. Add the onions, carrots and celery and cook until soft and translucent, 5 minutes. Season with salt, pepper, and crushed red pepper.
Add the garlic, basil, thyme and roasted red peppers, and cook until fragrant, 1-2 more minutes.
Add canned tomatoes and broth, and bring mixture to a boil. Reduce the heat and simmer for 30 minutes.
Turn off the heat. Use an immersion blender to puree the soup until smooth and completely blended. Stir in the greek yogurt until well combined. Serve with fresh torn basil.
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Notes
Storage: Store any leftovers in an airtight container. They will last about 5 days in the fridge. Reheat in the microwave or on the stovetop until warmed through.Freezing Instructions:You can freeze roasted red pepper soup in the freezer for up to 3 months by using a sealable container or freezer bag. To re-heat, thaw in the fridge overnight and then microwave when ready to eat.