Answer
$2$
Work Step by Step
Substitute the given values of the variables into the expression:
$\left| \left| 4x\right| -\left| 5y\right| \right| =\left| \left| 4\times 3\right| -\left| 5\times \left( -2\right) \right| \right| =\left| \left| 12\right| -\left| -10\right| \right| =\left| 12-10\right| =\left| 2\right| =2$