To find the value of the expression $5c - 4b$, substitute the given values for $c$ and $b$:

$5c - 4b = 5(-3) - 4(2)$

Now, calculate each part:

1. $5(-3) = -15$
2. $4(2) = 8$

Substitute these results back into the expression:

$5c - 4b = -15 - 8 = -23$

So, the value of $5c - 4b$ is -23.

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Would you like more details on this solution? Here are some related questions you might find interesting:

1. What is the value of $4b - 5c$ with the same values?
2. If $A = -4$, $b = 2$, and $c = -3$, what is $A + b + c$?
3. How do you simplify the expression $(5c - 4b)^2$?
4. What is the value of $c(b - A)$ with these values?
5. How would the result change if $b = -2$ instead?

Tip: Remember, when dealing with expressions, substitute values carefully to avoid mistakes, especially with negative signs.