C5W3: I am confusing about equation of machine translation

In the video “Picking the most likely sentence” (week 3, Course 5), at 4:23, the equation of algorithm is:
image

But in the next slide, the equation is:

I don’t know if which equation true. I think it should be argmax for P of y_hat when x instead of argmax for P of y when x.

I’d love your help.

It should be y_hat, since y_hat are the outputs.

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