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Simplifying y2 + 5y = 374 Reorder the terms: 5y + y2 = 374 Solving 5y + y2 = 374 Solving for variable 'y'. Reorder the terms: -374 + 5y + y2 = 374 + -374 Combine like terms: 374 + -374 = 0 -374 + 5y + y2 = 0 Factor a trinomial. (-22 + -1y)(17 + -1y) = 0Subproblem 1
Set the factor '(-22 + -1y)' equal to zero and attempt to solve: Simplifying -22 + -1y = 0 Solving -22 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -1y = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -1y = 0 + 22 -1y = 0 + 22 Combine like terms: 0 + 22 = 22 -1y = 22 Divide each side by '-1'. y = -22 Simplifying y = -22Subproblem 2
Set the factor '(17 + -1y)' equal to zero and attempt to solve: Simplifying 17 + -1y = 0 Solving 17 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1y = 0 + -17 -1y = 0 + -17 Combine like terms: 0 + -17 = -17 -1y = -17 Divide each side by '-1'. y = 17 Simplifying y = 17Solution
y = {-22, 17}
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