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

-8a + 4y = 7a + 8y + 6
-8a = 7a + 8y + 6 - 4y
-8a - 7a = 8y + 6 - 4y
-15a = 4y + 6
a = \( \frac{4y + 6}{-15} \)
a = \( \frac{4y}{-15} \) + \( \frac{6}{-15} \)
a = -\(\frac{4}{15}\)y - \(\frac{2}{5}\)

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).

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

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -15 as well and sum (Inside, Outside) to equal 2. For this problem, those two numbers are -3 and 5. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² + 2y - 15
y² + (-3 + 5)y + (-3 x 5)
(y - 3)(y + 5)

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 6 x 7
a = 42