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.

-y - 1 < \( \frac{y}{7} \)
7 x (-y - 1) < y
(7 x -y) + (7 x -1) < y
-7y - 7 < y
-7y - 7 - y < 0
-7y - y < 7
-8y < 7
y < \( \frac{7}{-8} \)
y < -\(\frac{7}{8}\)

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.

6a + 4a = 10a

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

The volume of a cylinder is πr²h:

v = πr²h
v = π(8² x 2)
v = 128π

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).