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.

-8y + 1 = \( \frac{y}{-6} \)
-6 x (-8y + 1) = y
(-6 x -8y) + (-6 x 1) = y
48y - 6 = y
48y - 6 - y = 0
48y - y = 6
47y = 6
y = \( \frac{6}{47} \)
y = \(\frac{6}{47}\)

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

sa = 2πr² + 2πrh
sa = 2π(6²) + 2π(6 x 5)
sa = 2π(36) + 2π(30)
sa = (2 x 36)π + (2 x 30)π
sa = 72π + 60π
sa = 132π

For parallel lines with a transversal, the following relationships apply:

• angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
• alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
• all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
• same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with w° = 15, the value of z° is 15.

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.

The formula for circumference is circle diameter x π:

c = πd
c = 13π