Evaluate the following expression when $x=-5, y=4$, and $t=7$. \[ |x|+2 t-6 y \] \[ |x|+2 t-6 y= \]

Step 1 ：Given the expression \(|x|+2 t-6 y\) and the values \(x=-5\), \(y=4\), and \(t=7\).

Step 2 ：Substitute the given values into the expression.

Step 3 ：The expression becomes \(|-5|+2*7-6*4\).

Step 4 ：Simplify the expression to get the final result.

Step 5 ：The final result of the expression is \(\boxed{-5}\).