Why does light from a farther galaxy experience a greater accumulation of redshift than light from a nearer one?

Answer

The light from the farther galaxy traverses a much larger volume of expanding spacetime on its journey.

The longer the light's journey through the expanding medium of space, the more time the wavelength has to be stretched, leading to a greater accumulated redshift.

Why does light from a farther galaxy experience a greater accumulation of redshift than light from a nearer one?
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