Let's simplify the expression \( 2 - 3[5 - (6y - 4)] \).

### Step-by-step solution:

1. **Simplify inside the parentheses**:
   \[
   6y - 4
   \]
2. **Substitute back into the expression**:
   \[
   2 - 3[5 - (6y - 4)] = 2 - 3[5 - 6y + 4]
   \]
3. **Simplify the expression inside the brackets**:
   \[
   5 - 6y + 4 = 9 - 6y
   \]
   So the expression becomes:
   \[
   2 - 3[9 - 6y]
   \]
4. **Distribute the \(-3\) through the brackets**:
   \[
   -3 \times 9 = -27 \quad \text{and} \quad -3 \times (-6y) = 18y
   \]
   This gives us:
   \[
   2 - 27 + 18y
   \]
5. **Combine like terms**:
   \[
   2 - 27 = -25
   \]
   So the final expression is:
   \[
   -25 + 18y
   \]

### Final simplified result:
\[
-25 + 18y
\]

Would you like further details or have any questions?

Here are some related questions:
1. How do you solve linear equations after simplifying expressions?
2. How does distribution work in algebraic expressions?
3. How do you handle combining like terms in more complex problems?
4. Can you explain when to use parentheses in expressions?
5. How do negative signs affect distribution?

**Tip**: Always work inside parentheses first and simplify step by step.

Explore how to simplify the algebraic expression 2 - 3[5 - (6y - 4)] step by step. This problem introduces key algebraic concepts like distribution and combining like terms. Suitable for students in Grades 8-10, this explanation will help you understand how to apply the distributive property and handle negative signs effectively.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation