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.

2y + 4 = 3 + 4y
2y = 3 + 4y - 4
2y - 4y = 3 - 4
-2y = -1
y = \( \frac{-1}{-2} \)
y = \(\frac{1}{2}\)

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

y² - y - 10 = -5y - 5
y² - y - 10 + 5 = -5y
y² - y + 5y - 5 = 0
y² + 4y - 5 = 0

Next, factor the quadratic equation:

y² + 4y - 5 = 0
(y - 1)(y + 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 1) or (y + 5) must equal zero:

If (y - 1) = 0, y must equal 1
If (y + 5) = 0, y must equal -5

So the solution is that y = 1 or -5

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 8² + 6²
c² = 64 + 36
c² = 100
c = \( \sqrt{100} \)
c = 10

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.

(6a)(9ab) - (8a²)(4b)
(6 x 9)(a x a x b) - (8 x 4)(a² x b)
(54)(a¹⁺¹ x b) - (32)(a²b)
54a²b - 32a²b
22a²b

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

sa = 2πr² + 2πrh
sa = 2π(6²) + 2π(6 x 6)
sa = 2π(36) + 2π(36)
sa = (2 x 36)π + (2 x 36)π
sa = 72π + 72π
sa = 144π