If the universe is expanding at the speed of light and light travels at the speed of light then how are we still able to see light from the galaxies that are moving away from us?

This expansion rate, which is 68 km/s per megaparsec, is not a speed; rather, it is a measure of how far apart two objects are from one another. The universe is expanding at this rate, not at the speed of light.

Time actually does not exist for light traveling at the speed of light, so light from a distant galaxy travels in an instant.

It takes at least two photons to form a diffraction pattern. The single photon passing through a single slit creates a complex diffraction pattern. This indicates that single photons go through the silt multiple times, at what appears to the experimental observer to be the exact same time. Experiments with photons and single slits have shown that time and distance are not barriers to the photons.

The idea that because galaxies are moving away from us, it could take billions of years for that light to reach us is not consistent with the nature of photons and the Theory of Relativity. Instead, the fact that photons can travel multiple times through the same space and time shows that photons are not limited to the speed of light, space, or time.

It defies human reason to believe that time is a variable, that it differs for each observer, and that photons don't exist.

Galaxies are moving away from us because of the expansion of space itself, which stretches light waves as they travel through space. This stretching, known as cosmological redshift, causes the light from distant galaxies to shift to longer wavelengths, making them appear redshifted but still observable. Galaxies are not moving through space at the speed of light because of the expansion of the universe.