Let's simplify the expression step by step:

The given expression is:

\[
7(2y + 3) + 7y
\]

### Step 1: Distribute the 7 to both terms inside the parentheses.

\[
7 \cdot 2y + 7 \cdot 3 + 7y = 14y + 21 + 7y
\]

### Step 2: Combine like terms (terms with \( y \)).

\[
14y + 7y = 21y
\]

So the simplified expression is:

\[
21y + 21
\]

The final simplified expression is:

\[
21y + 21
\]

Would you like further clarification or details on this solution?

### Related Questions:
1. How do you factor expressions like \( 21y + 21 \)?
2. What happens when you set \( 21y + 21 = 0 \) and solve for \( y \)?
3. Can this expression be written differently in terms of factoring?
4. How do you solve similar expressions with variables on both sides?
5. What are the steps for solving multi-variable expressions?

### Tip:
Always distribute any coefficients outside parentheses before combining like terms. This helps in simplifying expressions accurately.

Learn how to simplify the algebraic expression 7(2y + 3) + 7y with a clear step-by-step explanation. This problem focuses on the distributive property and combining like terms, making it perfect 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