Pour the lye water into the oils. The mixture will harden and turn white (looking like salt or snow), due to the stearic acid. Mix with the stick blender, as much as you can.
NOTE: By using temperatures below 80ºC - 176ºF, something quite easy to achieve as your bowl will be at room temperature and the amount of lye water and oils are not enough to keep such high temperatures, your soap batter will harden and turn white. Follow the recipe and heat the soap batter in the end to get the transparent soap. Using other solutions, like a crock pot at high temperature, will overheat the sugar syrup and turn your soap base yellowish or even brownish. The way this recipe was made was the only time I cold get truly crystal-clear soap.
Add half of alcohol and glycerin and continue to mix well with the immersion blender. Your mixture should turn liquid and clear.
Add the rest of the alcohol and glycerin and continue to mix well with the immersion blender for around 4 to 5 minutes.
Add the sugar syrup and mix a bit longer.
If you are at this step with a clear mixture, you can skip this step. If your mixture is white like mine (because I've just heated the oils up to 60ºC), heat it in bagne-marie up to 80ºC (180ºF) and leave for a while at that temperature until your soap becomes completely clear.