Respuesta :

Y=-3
Add 2 to both sides the -2 &-8
-8 becomes -6 then divide by 2
Y=-3
Space

Answer:

y = -3

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

Step-by-step explanation:

Step 1: Define

-8 = 2y - 2

Step 2: Solve for y

  1. [Addition Property of Equality] Add 2 on both sides:                                  -6 = 2y
  2. [Division Property of Equality] Divide 2 on both sides:                               -3 = y
  3. Rewrite/Rearrange:                                                                                         y = -3

Step 3: Check

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

  1. Substitute in y:                                                                                                -8 = 2(-3) - 2
  2. Multiply:                                                                                                           -8 = -6 - 2
  3. Subtract:                                                                                                          -8 = -8

Here we see that -8 does indeed equal -8.

∴ y = -3 is the solution to the equation.