y^2+2y-28=4y-4

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Solution for y^2+2y-28=4y-4 equation: 


Simplifying
y2 + 2y + -28 = 4y + -4

Reorder the terms:
-28 + 2y + y2 = 4y + -4

Reorder the terms:
-28 + 2y + y2 = -4 + 4y

Solving
-28 + 2y + y2 = -4 + 4y

Solving for variable 'y'.

Reorder the terms:
-28 + 4 + 2y + -4y + y2 = -4 + 4y + 4 + -4y

Combine like terms: -28 + 4 = -24
-24 + 2y + -4y + y2 = -4 + 4y + 4 + -4y

Combine like terms: 2y + -4y = -2y
-24 + -2y + y2 = -4 + 4y + 4 + -4y

Reorder the terms:
-24 + -2y + y2 = -4 + 4 + 4y + -4y

Combine like terms: -4 + 4 = 0
-24 + -2y + y2 = 0 + 4y + -4y
-24 + -2y + y2 = 4y + -4y

Combine like terms: 4y + -4y = 0
-24 + -2y + y2 = 0

Factor a trinomial.
(-4 + -1y)(6 + -1y) = 0


Subproblem 1
Set the factor '(-4 + -1y)' equal to zero and attempt to solve:

Simplifying
-4 + -1y = 0

Solving
-4 + -1y = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1y = 0 + 4
-1y = 0 + 4

Combine like terms: 0 + 4 = 4
-1y = 4

Divide each side by '-1'.
y = -4

Simplifying
y = -4

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 = {-4, 6}

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