Consider the following premises. There is at least one y for which if y makes tea, then y is cooking. For all y, if y cooks, then y is working. For all y, if y works, then y is making tea. Can we infer the following from them? If we can, name the inference rule being used: There is at least one y for which if y makes tea, then y is cooking.
That is one of the premises. Therefore, the answer is yes.