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Simplifying -60 = -16y + y2 Solving -60 = -16y + y2 Solving for variable 'y'. Reorder the terms: -60 + 16y + -1y2 = -16y + 16y + y2 + -1y2 Combine like terms: -16y + 16y = 0 -60 + 16y + -1y2 = 0 + y2 + -1y2 -60 + 16y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -60 + 16y + -1y2 = 0 Factor a trinomial. (-10 + y)(6 + -1y) = 0Subproblem 1
Set the factor '(-10 + y)' equal to zero and attempt to solve: Simplifying -10 + y = 0 Solving -10 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + y = 0 + 10 y = 0 + 10 Combine like terms: 0 + 10 = 10 y = 10 Simplifying y = 10Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6Solution
y = {10, 6}
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