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Simplifying y6 + -7y3 + -6 = -12 Reorder the terms: -6 + -7y3 + y6 = -12 Solving -6 + -7y3 + y6 = -12 Solving for variable 'y'. Reorder the terms: -6 + 12 + -7y3 + y6 = -12 + 12 Combine like terms: -6 + 12 = 6 6 + -7y3 + y6 = -12 + 12 Combine like terms: -12 + 12 = 0 6 + -7y3 + y6 = 0 Factor a trinomial. (1 + -1y3)(6 + -1y3) = 0Subproblem 1
Set the factor '(1 + -1y3)' equal to zero and attempt to solve: Simplifying 1 + -1y3 = 0 Solving 1 + -1y3 = 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 + -1y3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y3 = 0 + -1 -1y3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1y3 = -1 Divide each side by '-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 2
Set the factor '(6 + -1y3)' equal to zero and attempt to solve: Simplifying 6 + -1y3 = 0 Solving 6 + -1y3 = 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 + -1y3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y3 = 0 + -6 -1y3 = 0 + -6 Combine like terms: 0 + -6 = -6 -1y3 = -6 Divide each side by '-1'. y3 = 6 Simplifying y3 = 6 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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