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Simplifying (8 + -1y)(5y + 7) = 0 Reorder the terms: (8 + -1y)(7 + 5y) = 0 Multiply (8 + -1y) * (7 + 5y) (8(7 + 5y) + -1y * (7 + 5y)) = 0 ((7 * 8 + 5y * 8) + -1y * (7 + 5y)) = 0 ((56 + 40y) + -1y * (7 + 5y)) = 0 (56 + 40y + (7 * -1y + 5y * -1y)) = 0 (56 + 40y + (-7y + -5y2)) = 0 Combine like terms: 40y + -7y = 33y (56 + 33y + -5y2) = 0 Solving 56 + 33y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (8 + -1y)(7 + 5y) = 0Subproblem 1
Set the factor '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 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 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8Subproblem 2
Set the factor '(7 + 5y)' equal to zero and attempt to solve: Simplifying 7 + 5y = 0 Solving 7 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5y = 0 + -7 5y = 0 + -7 Combine like terms: 0 + -7 = -7 5y = -7 Divide each side by '5'. y = -1.4 Simplifying y = -1.4Solution
y = {8, -1.4}
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