Answer
$2$.
Work Step by Step
The given expression is
$=\left | \left | 4x \right |- \left | 5y \right | \right |$
Substitute $x=3$ and $y=-2$.
$=\left | \left | 4(3) \right |- \left | 5(-2) \right | \right |$
Simplify.
$=\left | \left | 12 \right |- \left | -10 \right | \right |$
$=\left | 12-10\right |$
$=\left | 2\right |$
$=2$.