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Simplifying y(y + -4) + 8 = 2y Reorder the terms: y(-4 + y) + 8 = 2y (-4 * y + y * y) + 8 = 2y (-4y + y2) + 8 = 2y Reorder the terms: 8 + -4y + y2 = 2y Solving 8 + -4y + y2 = 2y Solving for variable 'y'. Reorder the terms: 8 + -4y + -2y + y2 = 2y + -2y Combine like terms: -4y + -2y = -6y 8 + -6y + y2 = 2y + -2y Combine like terms: 2y + -2y = 0 8 + -6y + y2 = 0 Factor a trinomial. (2 + -1y)(4 + -1y) = 0Subproblem 1
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 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 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Subproblem 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 = {2, 4}
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