The problem asks to analyze two equations: y = 3|x| - 4 and y = |4 - |x||. It is a math problem involving absolute values and functions. I need to provide the solution in HTML format as per the system instructions. Since no specific question is asked about these functions (like finding intersection points, graphing, etc.), I will assume the task is to represent them.

Equations involving absolute values:

• The first equation is: \( y = 3|x| - 4 \)
• The second equation is: \( y = |4 - |x|| \)

These equations represent transformations of the basic absolute value function \( y = |x| \). The first involves a vertical stretch by a factor of 3 and a downward shift of 4 units. The second involves an inward shift by 4 units and then an absolute value transformation, which effectively reflects any negative part of \( 4 - |x| \) above the x-axis.