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Simplifying 2y2 + -24 + -6y = y2 + -4y Reorder the terms: -24 + -6y + 2y2 = y2 + -4y Reorder the terms: -24 + -6y + 2y2 = -4y + y2 Solving -24 + -6y + 2y2 = -4y + y2 Solving for variable 'y'. Reorder the terms: -24 + -6y + 4y + 2y2 + -1y2 = -4y + y2 + 4y + -1y2 Combine like terms: -6y + 4y = -2y -24 + -2y + 2y2 + -1y2 = -4y + y2 + 4y + -1y2 Combine like terms: 2y2 + -1y2 = 1y2 -24 + -2y + 1y2 = -4y + y2 + 4y + -1y2 Reorder the terms: -24 + -2y + 1y2 = -4y + 4y + y2 + -1y2 Combine like terms: -4y + 4y = 0 -24 + -2y + 1y2 = 0 + y2 + -1y2 -24 + -2y + 1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -24 + -2y + 1y2 = 0 Factor a trinomial. (-4 + -1y)(6 + -1y) = 0Subproblem 1
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 = -4Subproblem 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 = {-4, 6}
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