We can substitute b=-2 into the expression to evaluate it.
|-4b - 8| + |-1 - b^2| + 2b^3
= |-4(-2) - 8| + |-1 - (-2)^2| + 2(-2)^3
= |8 - 8| + |-1 - 4| + 2(-8)
= |0| + |-5| - 16
= 0 + 5 - 16
= 5 - 16
= -11
Therefore, the value of the expression when b=-2 is -11.
Evaluate the expression for the given value of the variable.
|-4b - 8| + |-1 - b^2| + 2b^3; b=-2
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