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

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

• A. 4
• B. 6
• C. 8
• D. 10

Answer: (A)

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.

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.