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Simplifying 29y + -1y2 = 198 Solving 29y + -1y2 = 198 Solving for variable 'y'. Reorder the terms: -198 + 29y + -1y2 = 198 + -198 Combine like terms: 198 + -198 = 0 -198 + 29y + -1y2 = 0 Factor a trinomial. (-18 + y)(11 + -1y) = 0Subproblem 1
Set the factor '(-18 + y)' equal to zero and attempt to solve: Simplifying -18 + y = 0 Solving -18 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + y = 0 + 18 y = 0 + 18 Combine like terms: 0 + 18 = 18 y = 18 Simplifying y = 18Subproblem 2
Set the factor '(11 + -1y)' equal to zero and attempt to solve: Simplifying 11 + -1y = 0 Solving 11 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1y = 0 + -11 -1y = 0 + -11 Combine like terms: 0 + -11 = -11 -1y = -11 Divide each side by '-1'. y = 11 Simplifying y = 11Solution
y = {18, 11}
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