https://file.aiquickdraw.com/mathbot/file/1724817726367nwn10ckr.jpg

Let's solve the expression given in the image:

The expression to evaluate is:
\[
7(2x - y) + 2x + 4
\]
where \( x = 3 \) and \( y = 5 \).

### Step 1: Substitute the values of \( x \) and \( y \) into the expression.
\[
7(2(3) - 5) + 2(3) + 4
\]

### Step 2: Simplify inside the parentheses.
\[
2(3) = 6 \quad \text{so} \quad 7(6 - 5) + 2(3) + 4
\]

\[
6 - 5 = 1 \quad \text{so} \quad 7(1) + 2(3) + 4
\]

### Step 3: Multiply and add the remaining terms.
\[
7(1) = 7 \quad \text{so} \quad 7 + 2(3) + 4
\]

\[
2(3) = 6 \quad \text{so} \quad 7 + 6 + 4
\]

### Step 4: Add the numbers together.
\[
7 + 6 + 4 = 17
\]

So, the value of the expression is \( \boxed{17} \).

Would you like any further details or explanations? Here are some related questions you might find interesting:

1. What happens if \( y \) were a negative number in the expression?
2. How would the result change if \( x = y \)?
3. What is the general approach to solving such expressions?
4. Can you factor the original expression in any way?
5. How would you solve this if it were an inequality instead of an equality?

**Tip:** When solving algebraic expressions, always perform operations inside parentheses first and follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)).

Learn how to solve algebraic expressions using substitution and the order of operations. Explore a step-by-step solution to an example problem involving substitution of variables. Suitable for middle school students (Grades 6-8).

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