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Simplifying (4y + -7)(9 + -1y) = 0 Reorder the terms: (-7 + 4y)(9 + -1y) = 0 Multiply (-7 + 4y) * (9 + -1y) (-7(9 + -1y) + 4y * (9 + -1y)) = 0 ((9 * -7 + -1y * -7) + 4y * (9 + -1y)) = 0 ((-63 + 7y) + 4y * (9 + -1y)) = 0 (-63 + 7y + (9 * 4y + -1y * 4y)) = 0 (-63 + 7y + (36y + -4y2)) = 0 Combine like terms: 7y + 36y = 43y (-63 + 43y + -4y2) = 0 Solving -63 + 43y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + y)(7 + -4y) = 0Subproblem 1
Set the factor '(-9 + y)' equal to zero and attempt to solve: Simplifying -9 + y = 0 Solving -9 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + y = 0 + 9 y = 0 + 9 Combine like terms: 0 + 9 = 9 y = 9 Simplifying y = 9Subproblem 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 = {9, 1.75}
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