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Simplify expressions


Consider the following expression:
a+z*k^(b-1)*c^(d-1)

Given that y==z*k^b*c^d I would like Mathematica to simplfy the
preceding expression to:
a+y/(k*c)

However, the following command does not work
Simplify[a + z*k^(b - 1)*c^(d - 1), y == z*k^b*c^d]

Does anyone has a suggestion? Thanks, Thomas


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