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Simplifying (8y + -7)(4y + -1) = 0 Reorder the terms: (-7 + 8y)(4y + -1) = 0 Reorder the terms: (-7 + 8y)(-1 + 4y) = 0 Multiply (-7 + 8y) * (-1 + 4y) (-7(-1 + 4y) + 8y * (-1 + 4y)) = 0 ((-1 * -7 + 4y * -7) + 8y * (-1 + 4y)) = 0 ((7 + -28y) + 8y * (-1 + 4y)) = 0 (7 + -28y + (-1 * 8y + 4y * 8y)) = 0 (7 + -28y + (-8y + 32y2)) = 0 Combine like terms: -28y + -8y = -36y (7 + -36y + 32y2) = 0 Solving 7 + -36y + 32y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -4y)(7 + -8y) = 0Subproblem 1
Set the factor '(1 + -4y)' equal to zero and attempt to solve: Simplifying 1 + -4y = 0 Solving 1 + -4y = 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 + -4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4y = 0 + -1 -4y = 0 + -1 Combine like terms: 0 + -1 = -1 -4y = -1 Divide each side by '-4'. y = 0.25 Simplifying y = 0.25Subproblem 2
Set the factor '(7 + -8y)' equal to zero and attempt to solve: Simplifying 7 + -8y = 0 Solving 7 + -8y = 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 + -8y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8y = 0 + -7 -8y = 0 + -7 Combine like terms: 0 + -7 = -7 -8y = -7 Divide each side by '-8'. y = 0.875 Simplifying y = 0.875Solution
y = {0.25, 0.875}
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