Different forms of Schrodinger equation

[QMechanic]

I got confused when in my book they went from one form of schrodinger equation to another. It doesn't make much sense to me algebraically, probably i have some lacks in complex numbers. Here are the equations:

In the second one I think it's implied that above two equations give third and I am not sure how.

 

[mfb]

The last equation of the second picture is the same as the equation in the other picture, just multiplied by $\frac{-i}{\hbar}$ (note that -i * i = 1)

 

[QMechanic]

Thanks I completely forgot about it haha