If $a, b, c$ are elements of a group ( $G,{ }^*$ ), then the solution of the equation $c^* y^* a=b$

Question

If $a, b, c$ are elements of a group ( $G,{ }^*$ ), then the solution of the equation $c^* y^* a=b$ in $G$ is

Professor PC Thomas Classes · Answer

$c*y*a = b \Rightarrow y*a = c^{-1}*b \Rightarrow y = c^{-1}*b*a^{-1}$.