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Step 6 can always be done with 2 Sunes or less. You do need to learn it to use this method.
To talk about how to use Sune™ we need to define the concept the Sune™'s target. The target of a Sune™ in the example is the yellow facelet. In words, the target is the facelet on the corner opposite the side of the first Sune™ turn that is left untwisted. Or in other words, the first turn of a Sune™ targets the facelet that (a) is on the opposite side from the side of the first turn, and (b) of the two corner facelets there, it targets the one on the side that is turned up.
Once you've understood the target concept, you only have these three rules to keep in mind. If the final layer is red...
Here are examples of zero, one and two correct corners. The target is yellow, or orange when it's both red and a target.
Here are the two most useful other move sequences. The first is a double Sune, and the second is a Bruno.
You need to learn a lot of move sequences, and you need to learn to recignize them quickly. Most of the time there is a move sequence that solves this step directly, without going to step 7.
There are only 49 possible position here. Here are solutions to every single one.
Next Step - Position the edges