y^2-6y-8=4-2y

Solution for y^2-6y-8=4-2y equation:

Simplifying
y2 + -6y + -8 = 4 + -2y

Reorder the terms:
-8 + -6y + y2 = 4 + -2y

Solving
-8 + -6y + y2 = 4 + -2y

Solving for variable 'y'.

Reorder the terms:
-8 + -4 + -6y + 2y + y2 = 4 + -2y + -4 + 2y

Combine like terms: -8 + -4 = -12
-12 + -6y + 2y + y2 = 4 + -2y + -4 + 2y

Combine like terms: -6y + 2y = -4y
-12 + -4y + y2 = 4 + -2y + -4 + 2y

Reorder the terms:
-12 + -4y + y2 = 4 + -4 + -2y + 2y

Combine like terms: 4 + -4 = 0
-12 + -4y + y2 = 0 + -2y + 2y
-12 + -4y + y2 = -2y + 2y

Combine like terms: -2y + 2y = 0
-12 + -4y + y2 = 0

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

Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve:

Simplifying
-2 + -1y = 0

Solving
-2 + -1y = 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 + -1y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = 0 + 2
-1y = 0 + 2

Combine like terms: 0 + 2 = 2
-1y = 2

Divide each side by '-1'.
y = -2

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