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Simplifying (6 + -1y)(4y + -7) = 0 Reorder the terms: (6 + -1y)(-7 + 4y) = 0 Multiply (6 + -1y) * (-7 + 4y) (6(-7 + 4y) + -1y * (-7 + 4y)) = 0 ((-7 * 6 + 4y * 6) + -1y * (-7 + 4y)) = 0 ((-42 + 24y) + -1y * (-7 + 4y)) = 0 (-42 + 24y + (-7 * -1y + 4y * -1y)) = 0 (-42 + 24y + (7y + -4y2)) = 0 Combine like terms: 24y + 7y = 31y (-42 + 31y + -4y2) = 0 Solving -42 + 31y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-6 + y)(7 + -4y) = 0Subproblem 1
Set the factor '(-6 + y)' equal to zero and attempt to solve: Simplifying -6 + y = 0 Solving -6 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + y = 0 + 6 y = 0 + 6 Combine like terms: 0 + 6 = 6 y = 6 Simplifying y = 6Subproblem 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 = {6, 1.75}
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