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3.6y = 1.6y + 24
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Answer:

y = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Algebra I

  • Terms/Coefficients

Step-by-step explanation:

Step 1: Define

3.6y = 1.6y + 24

Step 2: Solve for y

  1. [Subtraction Property of Equality] Subtract 1.6y on both sides:                  2y = 24
  2. [Division Property of Equality] Divide 2 on both sides:                                y = 12

Step 3: Check

Plug in y into the original equation to verify it's a solution.

  1. Substitute in y:                                                                                                3.6(12) = 1.6(12) + 24
  2. Multiply:                                                                                                           43.2 = 19.2 + 24
  3. Add:                                                                                                                 43.2 = 43.2

Here we have 43.2 does indeed equal 43.2.

∴ y = 12 is the solution to the equation.

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