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# 11(4-6y)+5(13y+1)=9 help​

Asked 11 months ago
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11(4-6y)+5(13y+1)=9 help​

2

Y = 40

Step-by-step explanation:

44 - 66y + 65y + 5 = 9

49 - y = 9

-y = -40

y = 40 ##### Ophelia Stokes MD
15.5k 3 10 26
answered 11 months ago
2

y = 40

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

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

Equality Properties

Algebra I

• Combining Like Terms

Step-by-step explanation:

Step 1: Define

11(4 - 6y) + 5(13y + 1) = 9

Step 2: Solve for y

1. Distribute:                              44 - 66y + 65y + 5 = 9
2. Combine like terms:             -y + 49 = 9
3. Isolate y term:                       -y = -40
4. Isolate y:                                y = 40

Step 3: Check

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

1. Substitute in y:                    11(4 - 6(40)) + 5(13(40) + 1) = 9
2. Multiply:                               11(4 - 240) + 5(520 + 1) = 9
3. Subtract/Add:                      11(-236) + 5(521) = 9
4. Multiply:                               -2596 + 2605 = 9
5. Add:                                     9 = 9

Here we see that 9 does indeed equal 9.

∴ y = 40 is the solution to the equation. ##### Ike Stanton
15.5k 3 10 26
answered 11 months ago