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Simplifying (5y + -8)(1 + -1y) = 0 Reorder the terms: (-8 + 5y)(1 + -1y) = 0 Multiply (-8 + 5y) * (1 + -1y) (-8(1 + -1y) + 5y * (1 + -1y)) = 0 ((1 * -8 + -1y * -8) + 5y * (1 + -1y)) = 0 ((-8 + 8y) + 5y * (1 + -1y)) = 0 (-8 + 8y + (1 * 5y + -1y * 5y)) = 0 (-8 + 8y + (5y + -5y2)) = 0 Combine like terms: 8y + 5y = 13y (-8 + 13y + -5y2) = 0 Solving -8 + 13y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-8 + 5y)(1 + -1y) = 0Subproblem 1
Set the factor '(-8 + 5y)' equal to zero and attempt to solve: Simplifying -8 + 5y = 0 Solving -8 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5y = 0 + 8 5y = 0 + 8 Combine like terms: 0 + 8 = 8 5y = 8 Divide each side by '5'. y = 1.6 Simplifying y = 1.6Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Solution
y = {1.6, 1}
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