Identifying distribution of random variable given mgf

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I have the following question, and am not too sure even where to start to solve this one! So any help or tips would be so much appreciated!

“A random variable Y has moment generating function $M_Y(t) = \lambda / (\lambda - t).$ Identify that distribution of Y. A random variable U has moment generating function $M_U(t)= \lambda / (\lambda +t)$. How is the random variable U related to Y? "

Thankyou in advance!!!