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Simplifying y8 + -1 = 0 Reorder the terms: -1 + y8 = 0 Solving -1 + y8 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + y8 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + y8 = 0 + 1 y8 = 0 + 1 Combine like terms: 0 + 1 = 1 y8 = 1 Simplifying y8 = 1 Reorder the terms: -1 + y8 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + y8 = 0 Factor a difference between two squares. (1 + y4)(-1 + y4) = 0 Factor a difference between two squares. (1 + y4)((1 + y2)(-1 + y2)) = 0 Factor a difference between two squares. (1 + y4)((1 + y2)((1 + y)(-1 + y))) = 0Subproblem 1
Set the factor '(1 + y4)' equal to zero and attempt to solve: Simplifying 1 + y4 = 0 Solving 1 + y4 = 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 + y4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y4 = 0 + -1 y4 = 0 + -1 Combine like terms: 0 + -1 = -1 y4 = -1 Simplifying y4 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + y2)' equal to zero and attempt to solve: Simplifying 1 + y2 = 0 Solving 1 + y2 = 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 + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y2 = 0 + -1 y2 = 0 + -1 Combine like terms: 0 + -1 = -1 y2 = -1 Simplifying y2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Subproblem 4
Set the factor '(-1 + y)' equal to zero and attempt to solve: Simplifying -1 + y = 0 Solving -1 + y = 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 + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + y = 0 + 1 y = 0 + 1 Combine like terms: 0 + 1 = 1 y = 1 Simplifying y = 1Solution
y = {-1, 1}
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