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.

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.

6y - 6 = \( \frac{y}{5} \)
5 x (6y - 6) = y
(5 x 6y) + (5 x -6) = y
30y - 30 = y
30y - 30 - y = 0
30y - y = 30
29y = 30
y = \( \frac{30}{29} \)
y = 1\(\frac{1}{29}\)

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

z² - z - 42 = 0
(z + 6)(z - 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 6) or (z - 7) must equal zero:

If (z + 6) = 0, z must equal -6
If (z - 7) = 0, z must equal 7

So the solution is that z = -6 or 7

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 8) + (2 x 8 x 8) + (2 x 3 x 8)
sa = (48) + (128) + (48)
sa = 224

The surface area of a cylinder is 2πr² + 2πrh:

sa = 2πr² + 2πrh
sa = 2π(1²) + 2π(1 x 2)
sa = 2π(1) + 2π(2)
sa = (2 x 1)π + (2 x 2)π
sa = 2π + 4π
sa = 6π