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redshift

Lets say we have an object that 5 billion years away from earth. There would be a certain redshift from the expansion of the universe. Lets say that we had some new technology that showed it was also moving at 1/3 the speed of light perpendicular to earth. How would we be able to calculate the redshift due to the motion perpendicular to earth and the redshift due to expansion and add those two redshifts together. Is there an easy equation? Thanks in advance.

The moment an instant lasted forever, we were destined for the leading edge of eternity.