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Simplifying 3y2 = -19y + -20 Reorder the terms: 3y2 = -20 + -19y Solving 3y2 = -20 + -19y Solving for variable 'y'. Reorder the terms: 20 + 19y + 3y2 = -20 + -19y + 20 + 19y Reorder the terms: 20 + 19y + 3y2 = -20 + 20 + -19y + 19y Combine like terms: -20 + 20 = 0 20 + 19y + 3y2 = 0 + -19y + 19y 20 + 19y + 3y2 = -19y + 19y Combine like terms: -19y + 19y = 0 20 + 19y + 3y2 = 0 Factor a trinomial. (5 + y)(4 + 3y) = 0Subproblem 1
Set the factor '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5Subproblem 2
Set the factor '(4 + 3y)' equal to zero and attempt to solve: Simplifying 4 + 3y = 0 Solving 4 + 3y = 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 + 3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = 0 + -4 3y = 0 + -4 Combine like terms: 0 + -4 = -4 3y = -4 Divide each side by '3'. y = -1.333333333 Simplifying y = -1.333333333Solution
y = {-5, -1.333333333}
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