Question

|-2y+6|=6 please show the steps involved!!!

Answer 1

Answer:

Step-by-step explanation:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     |-2y+6| = 6  

STEP

2

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |-2y+6|

For the Negative case we'll use -(-2y+6)  

For the Positive case we'll use (-2y+6)  

STEP

3

Solve the Negative Case

     -(-2y+6) = 6  

    Multiply

     2y-6 = 6  

    Rearrange and Add up

     2y = 12  

    Divide both sides by 2

     y = 6  

STEP

4

Solve the Positive Case

     (-2y+6) = 6  

    Rearrange and Add up

     -2y = 0  

    Divide both sides by 2

     -y = 0  

    Multiply both sides by (-1)

     y = 0  

    Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

y=6

y=0

 

 

Two solutions were found :

y=0

y=6

Answer 2

Answer:

y = 6 or y = 0

Step-by-step explanation:

              |-2y + 6| = 6

-2y + 6 = -6          -2y + 6 = 6

 -2y = -12                -2y = 0

    y = 6                      y = 0

Best of Luck!