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Simplifying 16 + 8y + -1y2 + 4 = 11 Reorder the terms: 16 + 4 + 8y + -1y2 = 11 Combine like terms: 16 + 4 = 20 20 + 8y + -1y2 = 11 Solving 20 + 8y + -1y2 = 11 Solving for variable 'y'. Reorder the terms: 20 + -11 + 8y + -1y2 = 11 + -11 Combine like terms: 20 + -11 = 9 9 + 8y + -1y2 = 11 + -11 Combine like terms: 11 + -11 = 0 9 + 8y + -1y2 = 0 Factor a trinomial. (9 + -1y)(1 + y) = 0Subproblem 1
Set the factor '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 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 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9Subproblem 2
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 = {9, -1}
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