To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 8)(y - 4)
(y x y) + (y x -4) + (-8 x y) + (-8 x -4)
y² - 4y - 8y + 32
y² - 12y + 32

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

-8a - 7 > -3 - a
-8a > -3 - a + 7
-8a + a > -3 + 7
-7a > 4
a > \( \frac{4}{-7} \)
a > -\(\frac{4}{7}\)

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

2a⁷ - 7a⁷ = -5a⁷

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

b - 5 = \( \frac{b}{2} \)
2 x (b - 5) = b
(2 x b) + (2 x -5) = b
2b - 10 = b
2b - 10 - b = 0
2b - b = 10
b = 10
b = \( \frac{10}{1} \)
b = 10

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD