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Simplifying (4 + -1y)(2y + -7) = 0 Reorder the terms: (4 + -1y)(-7 + 2y) = 0 Multiply (4 + -1y) * (-7 + 2y) (4(-7 + 2y) + -1y * (-7 + 2y)) = 0 ((-7 * 4 + 2y * 4) + -1y * (-7 + 2y)) = 0 ((-28 + 8y) + -1y * (-7 + 2y)) = 0 (-28 + 8y + (-7 * -1y + 2y * -1y)) = 0 (-28 + 8y + (7y + -2y2)) = 0 Combine like terms: 8y + 7y = 15y (-28 + 15y + -2y2) = 0 Solving -28 + 15y + -2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + y)(7 + -2y) = 0Subproblem 1
Set the factor '(-4 + y)' equal to zero and attempt to solve: Simplifying -4 + y = 0 Solving -4 + y = 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 + y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + y = 0 + 4 y = 0 + 4 Combine like terms: 0 + 4 = 4 y = 4 Simplifying y = 4Subproblem 2
Set the factor '(7 + -2y)' equal to zero and attempt to solve: Simplifying 7 + -2y = 0 Solving 7 + -2y = 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 + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = 0 + -7 -2y = 0 + -7 Combine like terms: 0 + -7 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5Solution
y = {4, 3.5}
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