This is due to the Doppler effect. The solar system and galaxy is currently moving relative to material in the early universe. Or it was moving relative to the Earth’s current motion. According to the Principle of General Relativity, either viewpoint is equally valid. This motion is, however, much less that the overall speed that the universe is expanding.
This motion was acquired some time in the cosmological past. In the same way the earth moves relative to the sun, the Earth’s motion was acquired as the solar system formed
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