Math Problem Statement

Simplify this algebraic expression completely.

5y – 3(y + 2)

Solution

Let's simplify the algebraic expression 5y3(y+2)5y - 3(y + 2) step by step.

  1. Distribute the 3-3 to both terms inside the parentheses: 5y3y32=5y3y65y - 3 \cdot y - 3 \cdot 2 = 5y - 3y - 6

  2. Combine the like terms (5y5y and 3y-3y): (5y3y)6=2y6(5y - 3y) - 6 = 2y - 6

So, the simplified expression is 2y6\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 4x2(x+5)4x - 2(x + 5)?
  2. What happens when you simplify the expression 7z+4(z3)7z + 4(z - 3)?
  3. How can you factor the expression 2y62y - 6?
  4. What is the result of simplifying the expression 6a3(2a+4)6a - 3(2a + 4)?
  5. How would the expression change if it were 5y3(y2)5y - 3(y - 2) instead?

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

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Combining Like Terms

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8