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Simplifying (4y + -7)(8 + y) = 0 Reorder the terms: (-7 + 4y)(8 + y) = 0 Multiply (-7 + 4y) * (8 + y) (-7(8 + y) + 4y * (8 + y)) = 0 ((8 * -7 + y * -7) + 4y * (8 + y)) = 0 ((-56 + -7y) + 4y * (8 + y)) = 0 (-56 + -7y + (8 * 4y + y * 4y)) = 0 (-56 + -7y + (32y + 4y2)) = 0 Combine like terms: -7y + 32y = 25y (-56 + 25y + 4y2) = 0 Solving -56 + 25y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-8 + -1y)(7 + -4y) = 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 + -4y)' equal to zero and attempt to solve: Simplifying 7 + -4y = 0 Solving 7 + -4y = 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 + -4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4y = 0 + -7 -4y = 0 + -7 Combine like terms: 0 + -7 = -7 -4y = -7 Divide each side by '-4'. y = 1.75 Simplifying y = 1.75Solution
y = {-8, 1.75}
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