eli5: When analysing light spectrum of distant galaxies, how do we know if its red shift, AND NOT just the actual color of galaxy?

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since different gases give different color when burning, how can we know that the red colour we obtained is not just the actual color of gases burning, but rather a red shift?

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The color is different but not completely random. Each element emits a very specific spectrum of light. To not go into exact numbers, we can say that hydrogen emits light at wavelengths A, B and C. When we look at another galaxy, we see light with similar but shifted wavelengths: A-x, B-x and C-x. The only way to achieve it is to get “normal” light from hydrogen through the red shift. And we can even measure that shift.

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