Question

3.6y = 1.6y + 24
Help

Answer 1

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

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.