Simplify this algebraic expression completely.

5y – 3(y + 2)

Let's simplify the algebraic expression \( 5y - 3(y + 2) \) step by step.

1. Distribute the \(-3\) to both terms inside the parentheses:
   \[
   5y - 3 \cdot y - 3 \cdot 2 = 5y - 3y - 6
   \]

2. Combine the like terms (\(5y\) and \(-3y\)):
   \[
   (5y - 3y) - 6 = 2y - 6
   \]

So, the simplified expression is \( \boxed{2y - 6} \).

Would you like more details or have any questions?

Here are five related questions to explore further:

1. How would you simplify the expression \(4x - 2(x + 5)\)?
2. What happens when you simplify the expression \(7z + 4(z - 3)\)?
3. How can you factor the expression \(2y - 6\)?
4. What is the result of simplifying the expression \(6a - 3(2a + 4)\)?
5. How would the expression change if it were \(5y - 3(y - 2)\) instead?

**Tip:** Always distribute and combine like terms carefully when simplifying algebraic expressions.

Learn how to simplify the algebraic expression 5y - 3(y + 2) step-by-step with detailed explanations. This problem involves applying the distributive property and combining like terms, essential concepts in algebra. Suitable for students in Grades 6-8.

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