What is the value of y in the equation 2y + 6 = 18?

What is the value of y in the equation 2y + 6 = 18?

• A. y = 4
• B. y = 5
• C. y = 6
• D. y = 7

Answer: (A)

To find the value of y in the equation 2y + 6 = 18, begin by isolating the term involving y. This can be achieved by subtracting 6 from both sides of the equation: 2y + 6 - 6 = 18 - 6, which simplifies to 2y = 12. Next, divide both sides of the equation by 2 to solve for y: 2y / 2 = 12 / 2, resulting in y = 6. Thus, the correct value of y is 6. This solution is validated by substituting the value back into the original equation: 2(6) + 6 = 12 + 6 = 18, confirming that both sides of the equation are equal. This methodical approach to isolating y and ensuring the solution satisfies the original equation demonstrates a sound understanding of algebraic principles.

To find the value of y in the equation 2y + 6 = 18, begin by isolating the term involving y. This can be achieved by subtracting 6 from both sides of the equation:

2y + 6 - 6 = 18 - 6, which simplifies to 2y = 12.

Next, divide both sides of the equation by 2 to solve for y:

2y / 2 = 12 / 2, resulting in y = 6.

Thus, the correct value of y is 6. This solution is validated by substituting the value back into the original equation:

2(6) + 6 = 12 + 6 = 18, confirming that both sides of the equation are equal.

This methodical approach to isolating y and ensuring the solution satisfies the original equation demonstrates a sound understanding of algebraic principles.