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Simplifying y12 * y = y Multiply y12 * y y13 = y Solving y13 = y Solving for variable 'y'. Reorder the terms: -1y + y13 = y + -1y Combine like terms: y + -1y = 0 -1y + y13 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-1 + y12) = 0 Factor a difference between two squares. y((1 + y6)(-1 + y6)) = 0 Factor a difference between two squares. y((1 + y6)((1 + y3)(-1 + y3))) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(1 + y6)' equal to zero and attempt to solve: Simplifying 1 + y6 = 0 Solving 1 + y6 = 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 + y6 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y6 = 0 + -1 y6 = 0 + -1 Combine like terms: 0 + -1 = -1 y6 = -1 Simplifying y6 = -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 + y3)' equal to zero and attempt to solve: Simplifying 1 + y3 = 0 Solving 1 + y3 = 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 + y3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y3 = 0 + -1 y3 = 0 + -1 Combine like terms: 0 + -1 = -1 y3 = -1 Simplifying y3 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(-1 + y3)' equal to zero and attempt to solve: Simplifying -1 + y3 = 0 Solving -1 + y3 = 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 + y3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + y3 = 0 + 1 y3 = 0 + 1 Combine like terms: 0 + 1 = 1 y3 = 1 Simplifying y3 = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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