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Simplifying (y + -4) * 2 = 2y2 + -19y + 44 Reorder the terms: (-4 + y) * 2 = 2y2 + -19y + 44 Reorder the terms for easier multiplication: 2(-4 + y) = 2y2 + -19y + 44 (-4 * 2 + y * 2) = 2y2 + -19y + 44 (-8 + 2y) = 2y2 + -19y + 44 Reorder the terms: -8 + 2y = 44 + -19y + 2y2 Solving -8 + 2y = 44 + -19y + 2y2 Solving for variable 'y'. Reorder the terms: -8 + -44 + 2y + 19y + -2y2 = 44 + -19y + 2y2 + -44 + 19y + -2y2 Combine like terms: -8 + -44 = -52 -52 + 2y + 19y + -2y2 = 44 + -19y + 2y2 + -44 + 19y + -2y2 Combine like terms: 2y + 19y = 21y -52 + 21y + -2y2 = 44 + -19y + 2y2 + -44 + 19y + -2y2 Reorder the terms: -52 + 21y + -2y2 = 44 + -44 + -19y + 19y + 2y2 + -2y2 Combine like terms: 44 + -44 = 0 -52 + 21y + -2y2 = 0 + -19y + 19y + 2y2 + -2y2 -52 + 21y + -2y2 = -19y + 19y + 2y2 + -2y2 Combine like terms: -19y + 19y = 0 -52 + 21y + -2y2 = 0 + 2y2 + -2y2 -52 + 21y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -52 + 21y + -2y2 = 0 Factor a trinomial. (-13 + 2y)(4 + -1y) = 0Subproblem 1
Set the factor '(-13 + 2y)' equal to zero and attempt to solve: Simplifying -13 + 2y = 0 Solving -13 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 2y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 2y = 0 + 13 2y = 0 + 13 Combine like terms: 0 + 13 = 13 2y = 13 Divide each side by '2'. y = 6.5 Simplifying y = 6.5Subproblem 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 = {6.5, 4}
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