Let's break this down step by step:

Expression: 
\[
-4 \times 6^2 \div 6 - (42 + 5)
\]

1. First, evaluate \(6^2\):
   \[
   6^2 = 36
   \]

2. Next, multiply by \(-4\):
   \[
   -4 \times 36 = -144
   \]

3. Now divide by 6:
   \[
   -144 \div 6 = -24
   \]

4. Evaluate the expression inside the parentheses:
   \[
   42 + 5 = 47
   \]

5. Finally, subtract 47 from \(-24\):
   \[
   -24 - 47 = -71
   \]

So, the result of the expression is:
\[
\boxed{-71}
\]

Do you need further details or have any questions? 

Here are 5 related questions to deepen your understanding:
1. What happens if the exponent is changed to 3, i.e., \(-4 \times 6^3 \div 6 - (42 + 5)\)?
2. How would the result change if you add a negative number inside the parentheses, like \(-4 \times 6^2 \div 6 - (42 - 5)\)?
3. Can you simplify the expression if the division comes first, i.e., \(-4 \div 6 \times 6^2 - (42 + 5)\)?
4. What is the effect of swapping the order of multiplication and division in this expression?
5. What would happen if the parentheses around \(42 + 5\) were removed?

**Tip**: Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)) to avoid mistakes in simplifying expressions.

Learn how to simplify the expression -4 × 6^2 ÷ 6 - (42 + 5) step by step. This solution covers key concepts in arithmetic, such as exponentiation, multiplication, and division, while following the order of operations (PEMDAS). Suitable for students in Grades 6-8.

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