Consider the following premises. For all y, y will make tea. There is at least one y for which y will go running if and only if y will make tea. Can we infer the following from them? There is at least one y for which y will go running.
 From the fact that there is at least one y for which y will go running if and only if y will make tea we can infer that there is at least one y for which if y makes tea, then y is running. Finally, from the fact that there is at least one y for which if y makes tea, then y is running, and that for all y, y will make tea we can infer that there is at least one y for which y will go running. Therefore, the answer is yes.