Eliminating Absolute Value in the solution of a Differential Equation

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solving this simple Cauchy problem $y' = ry$ with initial condition $y(0) = b$, the general integral is $ln|y|=rx+c$ or $|y|=e^{rx+c}=e^{c}e^{rx}= ke^{rx}$.

My question is: what are the steps to eliminate the absolute value from the solution?

Thanks in advance