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Simplifying (4 + -1y)(3y + -7) = 0 Reorder the terms: (4 + -1y)(-7 + 3y) = 0 Multiply (4 + -1y) * (-7 + 3y) (4(-7 + 3y) + -1y * (-7 + 3y)) = 0 ((-7 * 4 + 3y * 4) + -1y * (-7 + 3y)) = 0 ((-28 + 12y) + -1y * (-7 + 3y)) = 0 (-28 + 12y + (-7 * -1y + 3y * -1y)) = 0 (-28 + 12y + (7y + -3y2)) = 0 Combine like terms: 12y + 7y = 19y (-28 + 19y + -3y2) = 0 Solving -28 + 19y + -3y2 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + y)(7 + -3y) = 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 + -3y)' equal to zero and attempt to solve: Simplifying 7 + -3y = 0 Solving 7 + -3y = 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 + -3y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3y = 0 + -7 -3y = 0 + -7 Combine like terms: 0 + -7 = -7 -3y = -7 Divide each side by '-3'. y = 2.333333333 Simplifying y = 2.333333333Solution
y = {4, 2.333333333}
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