A Beginner's Method
to Solve The Cube
Basics
Solving the Cube
 Step 1: Bottom Edges
 Step 2: Bottom Corners
 Step 3: Middle Edges
 Step 4: Top Edges
 Step 5: Solve Edges
 Step 6: Position Corners
 Step 7: Solve Corners
 Done
Extras
Step 4: Solve Two Top Edges

Solve the 2 edge cubies 

Basic Idea
Use the Ymove to move edge cubies within and to and from the top layer. Prepare and restore the top layer with Umoves to move edge cubies into the work space of the Ymove.
In this step we just solve the two edge cubies 'in the back', away from the free work space. The remaining three edge cubies are those in our work space, which simplifies the next step, Step 5.
Details
Step 4 is similar to solving the middle edges in Step3, except we do not turn the bottom layer prepare and restore with Umoves. Focus on one edge cubie, decide which neighboring edge you want to send it to, and decide whether to flip or not to flip it along the way. There will be one Ymove (with flip) or two Ymoves (without flip) that do the job. For example:
 Solve the blueyellow edge cubie.
Use Yi to flip the yellow facelet
onto the top. Use Ui to align with
blue face.  Solve the redyellow edge cubie.
Prepare with Ui.
Use Y to move with flip (left).
Use Y sideways to move without flip (right).
Restore with Ui.Comments
Sometimes an edge cubie is solved, but we may have to move it since it blocks the Ymove that we need to do for the back cubies. For example:
Examples of solved edgies that
we cannot use yet. We just ignore
them and do our job.Alternatives
There are not really any big alternatives to suggest, because moving edges around with minimal effect on other cubies is what the Ymove is made for. However, see the discussion of swaps at the end of Step 5.