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Simplifying (6 + -1y)(5y + 8) = 0 Reorder the terms: (6 + -1y)(8 + 5y) = 0 Multiply (6 + -1y) * (8 + 5y) (6(8 + 5y) + -1y * (8 + 5y)) = 0 ((8 * 6 + 5y * 6) + -1y * (8 + 5y)) = 0 ((48 + 30y) + -1y * (8 + 5y)) = 0 (48 + 30y + (8 * -1y + 5y * -1y)) = 0 (48 + 30y + (-8y + -5y2)) = 0 Combine like terms: 30y + -8y = 22y (48 + 22y + -5y2) = 0 Solving 48 + 22y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (6 + -1y)(8 + 5y) = 0Subproblem 1
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 = 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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