(6-y)(y+2)=

Solution for (6-y)(y+2)= equation:

Simplifying
(6 + -1y)(y + 2) = 0

Reorder the terms:
(6 + -1y)(2 + y) = 0

Multiply (6 + -1y) * (2 + y)
(6(2 + y) + -1y * (2 + y)) = 0
((2 * 6 + y * 6) + -1y * (2 + y)) = 0
((12 + 6y) + -1y * (2 + y)) = 0
(12 + 6y + (2 * -1y + y * -1y)) = 0
(12 + 6y + (-2y + -1y2)) = 0

Combine like terms: 6y + -2y = 4y
(12 + 4y + -1y2) = 0

Solving
12 + 4y + -1y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(6 + -1y)(2 + y) = 0

Subproblem 1
Set the factor '(6 + -1y)' equal to zero and attempt to solve:

Simplifying
6 + -1y = 0

Solving
6 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 0 + -6
-1y = 0 + -6

Combine like terms: 0 + -6 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6
Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Simplifying
y = -2
Solution
y = {6, -2}