<p>The hybrid cavity optomechanical system can exhibit various remarkable optical effects under appropriate coupling conditions. We investigate the optomechanically induced transparency phenomena in a system driven by the probe and pump fields, comprising three optical cavities and a mechanical resonator. The triple optomechanically induced transparency is observed in the absorption spectrum by adjusting the system parameters. The characteristics of OMIT can be controlled through coherent interactions, either among optical modes or between optical and mechanical modes. Specifically, the transparency windows increase in number and width with higher coupling constants, whereas the absence of coupling reduces window count and shifts the two outermost points outward. Additionally, we delve into the phenomenon of slow/fast light associated with rapid phase changes in the probe field, which realizes the conversion from slow to fast light. We also explore the properties of optomechanically induced transparency in extended four- and five-cavity systems, which show four and five transparency windows, respectively. Generalizing this to an N-cavity system reveals the presence of up to N transparency windows. Collectively, these results provide valuable insights for photon regulation and contribute to the advancement of nonlinear optical systems.</p>