Consider the following premises. For all y, if y drives a car, then y is writing a letter. For all y, y will drive a car or y will not listen to a song. For all y, y will listen to a song or y will not write a letter. Can we infer the following from them? If we can, name the inference rule being used: For all y, if y writes a letter, then y is listening to a song.
We can infer this via the universal rewriting rule. Therefore, the answer is yes.