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It depends on your speed.

The distance of Andromeda galaxy from Earth is 2.537 million light years and hence it will take that many years for light to travel to Andromeda galaxy.

However, to leave planet Earth, an escape velocity of 11.2 km/s or 40,320 km/h is required and a speed of 42.1 km/s is required to escape 's gravity and exit the Solar System). As these are very small fraction of velocity of light, the time taken will be much much more than billions of years.

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