Solving the second layer of the Rubik's cube

SOLUTION

For the second layer, turn the cube upside down, like this:

Now we are going to take advantage of the fact that we have left one empty corner to quickly place 3 edge cubes of the 2nd layer.

Here are the 2 very simple and symmetrical movements which will allow you to do it (you can check the cube state by turning it prior to playing, in order to see well):

Put 3 edge cubes of the 2nd layer this way.
Now the cube looks like this:

Turn again the cube upside down and place the last corner of the first layer. Proceed like you did for the first corners you placed, but being careful not to unfortunately remove one of the 3 well placed edge cubes of the second layer.

Now you'll have to use one these 2 algorithms (symmetrical) :

You have now completed the first two layers if everything went well.

3rd layer

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