A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

-8y⁶ x 3y⁵
(-8 x 3)y^{(6 + 5)}
-24y¹¹

First, solve for \( \left|y - 8\right| \):

\( \left|y - 8\right| \) - 6 = -5
\( \left|y - 8\right| \) = -5 + 6
\( \left|y - 8\right| \) = 1

The value inside the absolute value brackets can be either positive or negative so (y - 8) must equal + 1 or -1 for \( \left|y - 8\right| \) to equal 1:

So, y = 7 or y = 9.