What is the value of y in the equation 2y - 6 = 12?

• A. 6
• B. 7
• C. 8
• D. 9

Answer: (D)

To find the value of ( y ) in the equation ( 2y - 6 = 12 ), the goal is to isolate ( y ).

First, add ( 6 ) to both sides of the equation to eliminate the ( -6 ):

[

2y - 6 + 6 = 12 + 6

]

This simplifies to:

[

2y = 18

]

Next, to isolate ( y ), divide both sides of the equation by ( 2 ):

[

y = \frac{18}{2}

]

This results in:

[

y = 9

]

So, the value of ( y ) is ( 9 ). This solution demonstrates the process of solving a linear equation by performing inverse operations to isolate the variable. The correct answer reflects that the calculations have correctly led to the conclusion that when manipulated properly, the isolated variable ( y ) equals ( 9 ).