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Simplifying 49 + y2 + -6y + 9 = 74 Reorder the terms: 49 + 9 + -6y + y2 = 74 Combine like terms: 49 + 9 = 58 58 + -6y + y2 = 74 Solving 58 + -6y + y2 = 74 Solving for variable 'y'. Reorder the terms: 58 + -74 + -6y + y2 = 74 + -74 Combine like terms: 58 + -74 = -16 -16 + -6y + y2 = 74 + -74 Combine like terms: 74 + -74 = 0 -16 + -6y + y2 = 0 Factor a trinomial. (-2 + -1y)(8 + -1y) = 0Subproblem 1
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 = -2Subproblem 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 = {-2, 8}
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