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Simplifying 1 + -1y4 = 5y2 + -35 Reorder the terms: 1 + -1y4 = -35 + 5y2 Solving 1 + -1y4 = -35 + 5y2 Solving for variable 'y'. Reorder the terms: 1 + 35 + -5y2 + -1y4 = -35 + 5y2 + 35 + -5y2 Combine like terms: 1 + 35 = 36 36 + -5y2 + -1y4 = -35 + 5y2 + 35 + -5y2 Reorder the terms: 36 + -5y2 + -1y4 = -35 + 35 + 5y2 + -5y2 Combine like terms: -35 + 35 = 0 36 + -5y2 + -1y4 = 0 + 5y2 + -5y2 36 + -5y2 + -1y4 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 36 + -5y2 + -1y4 = 0 Factor a trinomial. (4 + -1y2)(9 + y2) = 0 Factor a difference between two squares. ((2 + y)(2 + -1y))(9 + y2) = 0Subproblem 1
Set the factor '(9 + y2)' equal to zero and attempt to solve: Simplifying 9 + y2 = 0 Solving 9 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + y2 = 0 + -9 y2 = 0 + -9 Combine like terms: 0 + -9 = -9 y2 = -9 Simplifying y2 = -9 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 '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 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 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Subproblem 3
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 = 2Solution
y = {-2, 2}
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