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Simplifying (4y + 8)(3y + 4) = 0 Reorder the terms: (8 + 4y)(3y + 4) = 0 Reorder the terms: (8 + 4y)(4 + 3y) = 0 Multiply (8 + 4y) * (4 + 3y) (8(4 + 3y) + 4y * (4 + 3y)) = 0 ((4 * 8 + 3y * 8) + 4y * (4 + 3y)) = 0 ((32 + 24y) + 4y * (4 + 3y)) = 0 (32 + 24y + (4 * 4y + 3y * 4y)) = 0 (32 + 24y + (16y + 12y2)) = 0 Combine like terms: 24y + 16y = 40y (32 + 40y + 12y2) = 0 Solving 32 + 40y + 12y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(8 + 10y + 3y2) = 0 Factor a trinomial. 4((2 + y)(4 + 3y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Subproblem 2
Set the factor '(4 + 3y)' equal to zero and attempt to solve: Simplifying 4 + 3y = 0 Solving 4 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = 0 + -4 3y = 0 + -4 Combine like terms: 0 + -4 = -4 3y = -4 Divide each side by '3'. y = -1.333333333 Simplifying y = -1.333333333Solution
y = {-2, -1.333333333}
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