Three times the sum of y and 8 is 51

In an equation, the phrase "three times the sum of y and 8 is 51" means: 3 (y + 8) = 51.

First, distribute 3 (y + 8) by multiplying the 3 into the parentheses. You are left with 3y + 24 = 51. To simplify further, subtract 24 from both sides because both do not have variables and you need to get rid of the 24 on the left.

3y + 24 - 24 = 51 - 24

3y = 51

Now, divide by 3 on both sides to leave y by itself.

3y / 3 = 51 / 3

y = 17