Answer:
y = 40
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
11(4 - 6y) + 5(13y + 1) = 9
<u>Step 2: Solve for </u><em><u>y</u></em>
- Distribute: 44 - 66y + 65y + 5 = 9
- Combine like terms: -y + 49 = 9
- Isolate <em>y</em> term: -y = -40
- Isolate <em>y</em>: y = 40
<u>Step 3: Check</u>
<em>Plug in y into the original equation to verify it's a solution.</em>
- Substitute in <em>y</em>: 11(4 - 6(40)) + 5(13(40) + 1) = 9
- Multiply: 11(4 - 240) + 5(520 + 1) = 9
- Subtract/Add: 11(-236) + 5(521) = 9
- Multiply: -2596 + 2605 = 9
- Add: 9 = 9
Here we see that 9 does indeed equal 9.
∴ y = 40 is the solution to the equation.