2(y+1)*1+(y+1)(y-1)*1-4=0

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Solution for 2(y+1)*1+(y+1)(y-1)*1-4=0 equation: 


Simplifying
2(y + 1) * 1 + (y + 1)(y + -1) * 1 + -4 = 0

Reorder the terms:
2(1 + y) * 1 + (y + 1)(y + -1) * 1 + -4 = 0

Reorder the terms for easier multiplication:
2 * 1(1 + y) + (y + 1)(y + -1) * 1 + -4 = 0

Multiply 2 * 1
2(1 + y) + (y + 1)(y + -1) * 1 + -4 = 0
(1 * 2 + y * 2) + (y + 1)(y + -1) * 1 + -4 = 0
(2 + 2y) + (y + 1)(y + -1) * 1 + -4 = 0

Reorder the terms:
2 + 2y + (1 + y)(y + -1) * 1 + -4 = 0

Reorder the terms:
2 + 2y + (1 + y)(-1 + y) * 1 + -4 = 0

Reorder the terms for easier multiplication:
2 + 2y + 1(1 + y)(-1 + y) + -4 = 0

Multiply (1 + y) * (-1 + y)
2 + 2y + 1(1(-1 + y) + y(-1 + y)) + -4 = 0
2 + 2y + 1((-1 * 1 + y * 1) + y(-1 + y)) + -4 = 0
2 + 2y + 1((-1 + 1y) + y(-1 + y)) + -4 = 0
2 + 2y + 1(-1 + 1y + (-1 * y + y * y)) + -4 = 0
2 + 2y + 1(-1 + 1y + (-1y + y2)) + -4 = 0

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

Reorder the terms:
2 + -1 + -4 + 2y + 1y2 = 0

Combine like terms: 2 + -1 = 1
1 + -4 + 2y + 1y2 = 0

Combine like terms: 1 + -4 = -3
-3 + 2y + 1y2 = 0

Solving
-3 + 2y + 1y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-3 + -1y)(1 + -1y) = 0


Subproblem 1
Set the factor '(-3 + -1y)' equal to zero and attempt to solve:

Simplifying
-3 + -1y = 0

Solving
-3 + -1y = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1y = 0 + 3
-1y = 0 + 3

Combine like terms: 0 + 3 = 3
-1y = 3

Divide each side by '-1'.
y = -3

Simplifying
y = -3

Subproblem 2
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
Solution
y = {-3, 1}

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