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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