Question

3.6y = 1.6y + 24
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Answer 1

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.