Math Problem Statement

Simplify 3(y - 6) - 5y.

Solution

To simplify the given expression 3(y6)5y3(y - 6) - 5y, follow these steps:

  1. Distribute the 33 to both terms inside the parentheses: 3(y6)=3y183(y - 6) = 3y - 18

    So, the expression becomes: 3y185y3y - 18 - 5y

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

    Now the expression is: 2y18-2y - 18

  3. The simplified expression is: 2y18-2y - 18

Let me know if you need further clarification or have any questions! Here are some related questions for practice:

  1. How do you simplify 2(3x+4)7x2(3x + 4) - 7x?
  2. What is the result of distributing 4-4 in ( -4(a + 5)

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification
Distributive Property

Formulas

Distributive property: a(b + c) = ab + ac

Theorems

No major theorems involved; applies algebraic rules.

Suitable Grade Level

Grades 6-8