https://file.aiquickdraw.com/mathbot/file/17279227080637fpd589f.jpg

The given algebraic expression is:

\[
5(2y - 4) + 2(2y + 1)
\]

To simplify it, follow these steps:

### Step 1: Distribute the constants outside the parentheses
- Distribute \( 5 \) to both \( 2y \) and \( -4 \):
  \[
  5(2y - 4) = 5 \times 2y - 5 \times 4 = 10y - 20
  \]
  
- Distribute \( 2 \) to both \( 2y \) and \( 1 \):
  \[
  2(2y + 1) = 2 \times 2y + 2 \times 1 = 4y + 2
  \]

### Step 2: Combine like terms
Now add the two simplified expressions:
\[
10y - 20 + 4y + 2
\]

Combine the \( y \)-terms and the constants:
\[
(10y + 4y) + (-20 + 2) = 14y - 18
\]

### Final Simplified Expression:
\[
14y - 18
\]

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. Simplify \( 3(4x + 5) + 2(6x - 3) \).
2. Factor the expression \( 14y - 18 \).
3. Simplify \( 4(3a - 2) + 5(a + 6) \).
4. Solve for \( y \) if \( 14y - 18 = 0 \).
5. Expand and simplify \( 6(2x + 3) - 4(x - 2) \).

**Tip**: When simplifying, always distribute first and then combine like terms.

Simplify the given algebraic expression: 5(2y - 4) + 2(2y + 1)

Learn how to simplify the algebraic expression 5(2y - 4) + 2(2y + 1) by using the distributive property and combining like terms. This step-by-step solution helps students understand key algebraic concepts. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation