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Simplifying (8 + -1y)(4y + -6) = 0 Reorder the terms: (8 + -1y)(-6 + 4y) = 0 Multiply (8 + -1y) * (-6 + 4y) (8(-6 + 4y) + -1y * (-6 + 4y)) = 0 ((-6 * 8 + 4y * 8) + -1y * (-6 + 4y)) = 0 ((-48 + 32y) + -1y * (-6 + 4y)) = 0 (-48 + 32y + (-6 * -1y + 4y * -1y)) = 0 (-48 + 32y + (6y + -4y2)) = 0 Combine like terms: 32y + 6y = 38y (-48 + 38y + -4y2) = 0 Solving -48 + 38y + -4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + 19y + -2y2) = 0 Factor a trinomial. 2((-8 + y)(3 + -2y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + y)' equal to zero and attempt to solve: Simplifying -8 + y = 0 Solving -8 + y = 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 + y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + y = 0 + 8 y = 0 + 8 Combine like terms: 0 + 8 = 8 y = 8 Simplifying y = 8Subproblem 2
Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Solution
y = {8, 1.5}
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