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Simplifying y2 + -7y + 8 = 16 Reorder the terms: 8 + -7y + y2 = 16 Solving 8 + -7y + y2 = 16 Solving for variable 'y'. Reorder the terms: 8 + -16 + -7y + y2 = 16 + -16 Combine like terms: 8 + -16 = -8 -8 + -7y + y2 = 16 + -16 Combine like terms: 16 + -16 = 0 -8 + -7y + y2 = 0 Factor a trinomial. (-1 + -1y)(8 + -1y) = 0Subproblem 1
Set the factor '(-1 + -1y)' equal to zero and attempt to solve: Simplifying -1 + -1y = 0 Solving -1 + -1y = 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 + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y = 0 + 1 -1y = 0 + 1 Combine like terms: 0 + 1 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1Subproblem 2
Set the factor '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8Solution
y = {-1, 8}
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