Do galaxies move and if so how do we know?

Galaxies do move. They both rotate and move through space. But how do we know? Fortunately, there is a way to detect the motion of a galaxy: By examining the spectrum of light from a galaxy, you can determine whether the galaxy is moving towards or away from Earth, and how fast.

Explanation:

in 1972 the fluid—mosaic membrane model of membrane structure was proposed based on thermodynamic principals of organization of membrane lipids and proteins and available evidence of asymmetry and lateral mobility within the membrane matrix [s. j. singer and g. l. nicolson, science 175 (1972) 720–731].