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

y = 40

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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

Distribute:                              44 - 66y + 65y + 5 = 9Combine like terms:             -y + 49 = 9Isolate y term:                       -y = -40Isolate y:                                y = 40

Step 3: Check

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

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

Here we see that 9 does indeed equal 9.

∴ y = 40 is the solution to the equation.