What is the value of y if 13y + 12 = 7y + 36?

To solve the equation 13y + 12 = 7y + 36, the goal is to isolate the variable y.

Start by getting all the terms involving y on one side of the equation and the constant terms on the other side. This can be done by subtracting 7y from both sides:

13y - 7y + 12 = 36.

This simplifies to:

6y + 12 = 36.

Next, isolate the term with the variable by subtracting 12 from both sides:

6y = 36 - 12,

6y = 24.

Now, divide both sides by 6 to solve for y:

y = 24 / 6,

y = 4.

Therefore, examining the options presented, the value of y that satisfies the equation is indeed 4.

This process illustrates how algebraic manipulation can lead to the solution for y, confirming that option D is accurate.