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Simplifying -16y + -7 = -3y2 + 5 Reorder the terms: -7 + -16y = -3y2 + 5 Reorder the terms: -7 + -16y = 5 + -3y2 Solving -7 + -16y = 5 + -3y2 Solving for variable 'y'. Reorder the terms: -7 + -5 + -16y + 3y2 = 5 + -3y2 + -5 + 3y2 Combine like terms: -7 + -5 = -12 -12 + -16y + 3y2 = 5 + -3y2 + -5 + 3y2 Reorder the terms: -12 + -16y + 3y2 = 5 + -5 + -3y2 + 3y2 Combine like terms: 5 + -5 = 0 -12 + -16y + 3y2 = 0 + -3y2 + 3y2 -12 + -16y + 3y2 = -3y2 + 3y2 Combine like terms: -3y2 + 3y2 = 0 -12 + -16y + 3y2 = 0 Factor a trinomial. (-2 + -3y)(6 + -1y) = 0Subproblem 1
Set the factor '(-2 + -3y)' equal to zero and attempt to solve: Simplifying -2 + -3y = 0 Solving -2 + -3y = 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 + -3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3y = 0 + 2 -3y = 0 + 2 Combine like terms: 0 + 2 = 2 -3y = 2 Divide each side by '-3'. y = -0.6666666667 Simplifying y = -0.6666666667Subproblem 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 = {-0.6666666667, 6}
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