To find the value of y, we need to use the formula for calculating the mean (also known as the average).
The formula for calculating the mean of a set of numbers is:
mean = (sum of numbers) / (number of numbers)
In this case, we know that the mean of the numbers 4, y, 8, and 10 is 7. So we can plug in these values into the formula and solve for y:
7 = (4 + y + 8 + 10) / 4
Multiplying both sides by 4 gives us:
28 = 4 + y + 8 + 10
Simplifying the right side of the equation gives us:
28 = y + 22
Subtracting 22 from both sides gives us:
6 = y
Therefore, the value of y that makes the mean of 4, y, 8, and 10 equal to 7 is 6.
So the answer is 6.