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Simplifying 22y + -1y2 = 72 Solving 22y + -1y2 = 72 Solving for variable 'y'. Reorder the terms: -72 + 22y + -1y2 = 72 + -72 Combine like terms: 72 + -72 = 0 -72 + 22y + -1y2 = 0 Factor a trinomial. (-18 + y)(4 + -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 '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {18, 4}
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