The mean of the number 6, y, 7, x and 14 is 8. Express y in terms of x.

Sum of observations = 6 + y + 7 + x + 14 = x + y + 27.

By formula,

Mean = $\dfrac{\text{Sum of observation}}{\text{No. of observation}}$

⇒ 8 = $\dfrac{x + y + 27}{5}$

⇒ 40 = x + y + 27

⇒ x + y = 40 - 27

⇒ x + y = 13

⇒ y = 13 - x.

Hence, y = 13 - x.