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Simplifying (5y + -8)(6 + -1y) = 0 Reorder the terms: (-8 + 5y)(6 + -1y) = 0 Multiply (-8 + 5y) * (6 + -1y) (-8(6 + -1y) + 5y * (6 + -1y)) = 0 ((6 * -8 + -1y * -8) + 5y * (6 + -1y)) = 0 ((-48 + 8y) + 5y * (6 + -1y)) = 0 (-48 + 8y + (6 * 5y + -1y * 5y)) = 0 (-48 + 8y + (30y + -5y2)) = 0 Combine like terms: 8y + 30y = 38y (-48 + 38y + -5y2) = 0 Solving -48 + 38y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-6 + y)(8 + -5y) = 0Subproblem 1
Set the factor '(-6 + y)' equal to zero and attempt to solve: Simplifying -6 + y = 0 Solving -6 + y = 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 + y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + y = 0 + 6 y = 0 + 6 Combine like terms: 0 + 6 = 6 y = 6 Simplifying y = 6Subproblem 2
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 = 1.6Solution
y = {6, 1.6}
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