If you attach a countertop to the wall with absolutely no cabinets whatsoever then use the same bracing techniques on both sides.
Attach countertop to half wall.
Run the tip of the compass along the wall with the pencil on the cardboard to transfer the contours of the wall to the strip.
When you measure for your countertop be sure to include the counter overhang which is usually between 3 4 1 inch in front and on open ends.
Make a mark 3 feet from the corner on one wall and 4 feet from the corner on the other wall.
Steel angles with 5 8 in.
Check the level again before trimming the shims with a utility knife.
The fascia laminates and backsplash can now be added.
Attach the countertops to the cabinets.
Slide the end of the countertop over the horizontal stud.
Be sure to place pressure sticks along the back corners where the corner blocks are located to get the countertop down tight.
Push the strip back tight against the wall using the combination square to verify the overhang depth.
Seal any gap between the backsplash and the wall or along the edges and the wall with a clear silicone acrylic caulk.
The point where two counters meet in a corner must be square.
If the holes are not completely lining up or you want a more secure install use wall anchors to attach the vanity to the wall.
Screw the countertop to the cabinet sides using 1 1 2 in.
Retape the strip in place.
Reinstall the cabinet doors put the drawers back in place and go have a beer.
Attach three 1 inch by 4 inch wood boards to the wall brace board to hold the countertop.
Using a utility knife cut the cardboard along the scribe line.
If you re working with bare plywood or particleboard place nails vertically down through the top of the countertop spaced about 4 inches.