Consider the following premises. There is at least one y_4 for which if y_4 drives a car, then y_4 is excited. For all y_4, y_4 will drive a car if and only if y_4 is happy. For all y_4, if y_4 were excited, then y_4 is happy. Can we infer the following from them? If we can, name the inference rule being used: For all y_4, the fact that y_4 drives a car does not imply that y_4 is happy.
That contradicts the premises. Therefore the answer is no.