To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

7b - 3y = b + 8y + 8
7b = b + 8y + 8 + 3y
7b - b = 8y + 8 + 3y
6b = 11y + 8
b = \( \frac{11y + 8}{6} \)
b = \( \frac{11y}{6} \) + \( \frac{8}{6} \)
b = 1\(\frac{5}{6}\)y + 1\(\frac{1}{3}\)

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a² - a² = 3a² but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(8a)(3ab) - (5a²)(4b)
(8 x 3)(a x a x b) - (5 x 4)(a² x b)
(24)(a¹⁺¹ x b) - (20)(a²b)
24a²b - 20a²b
4a²b

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.

-2c - 7 = \( \frac{c}{1} \)
1 x (-2c - 7) = c
(1 x -2c) + (1 x -7) = c
-2c - 7 = c
-2c - 7 - c = 0
-2c - c = 7
-3c = 7
c = \( \frac{7}{-3} \)
c = -2\(\frac{1}{3}\)

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.