Solve for \( y \) in the equation \( 2y + 6 = 18 \).

To solve the equation ( 2y + 6 = 18 ), the goal is to isolate ( y ).

First, subtract 6 from both sides of the equation. This step simplifies the equation by eliminating the constant on the left side:

[

2y + 6 - 6 = 18 - 6

]

This simplifies to:

[

2y = 12

]

Next, you need to solve for ( y ) by dividing both sides of the equation by 2, which is the coefficient of ( y ):

[

\frac{2y}{2} = \frac{12}{2}

]

This results in:

[

y = 6

]

Therefore, the value of ( y ) that satisfies the equation ( 2y + 6 = 18 ) is 6. This shows how the algebraic manipulation works to isolate the variable and find its value.