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Simplifying 2y + 5(y + -4) * y = 8 Reorder the terms: 2y + 5(-4 + y) * y = 8 Reorder the terms for easier multiplication: 2y + 5y(-4 + y) = 8 2y + (-4 * 5y + y * 5y) = 8 2y + (-20y + 5y2) = 8 Combine like terms: 2y + -20y = -18y -18y + 5y2 = 8 Solving -18y + 5y2 = 8 Solving for variable 'y'. Reorder the terms: -8 + -18y + 5y2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -18y + 5y2 = 0 Factor a trinomial. (-2 + -5y)(4 + -1y) = 0Subproblem 1
Set the factor '(-2 + -5y)' equal to zero and attempt to solve: Simplifying -2 + -5y = 0 Solving -2 + -5y = 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 + -5y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5y = 0 + 2 -5y = 0 + 2 Combine like terms: 0 + 2 = 2 -5y = 2 Divide each side by '-5'. y = -0.4 Simplifying y = -0.4Subproblem 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 = {-0.4, 4}
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