y^2-3y-4=-2y-2

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Solution for y^2-3y-4=-2y-2 equation: 


Simplifying
y2 + -3y + -4 = -2y + -2

Reorder the terms:
-4 + -3y + y2 = -2y + -2

Reorder the terms:
-4 + -3y + y2 = -2 + -2y

Solving
-4 + -3y + y2 = -2 + -2y

Solving for variable 'y'.

Reorder the terms:
-4 + 2 + -3y + 2y + y2 = -2 + -2y + 2 + 2y

Combine like terms: -4 + 2 = -2
-2 + -3y + 2y + y2 = -2 + -2y + 2 + 2y

Combine like terms: -3y + 2y = -1y
-2 + -1y + y2 = -2 + -2y + 2 + 2y

Reorder the terms:
-2 + -1y + y2 = -2 + 2 + -2y + 2y

Combine like terms: -2 + 2 = 0
-2 + -1y + y2 = 0 + -2y + 2y
-2 + -1y + y2 = -2y + 2y

Combine like terms: -2y + 2y = 0
-2 + -1y + y2 = 0

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


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

Simplifying
-1 + -1y = 0

Solving
-1 + -1y = 0

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

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

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

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

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

Simplifying
y = -1

Subproblem 2
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
Solution
y = {-1, 2}

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