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

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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.

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