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Simplifying (6 + -1y)(2y + -7) = 0 Reorder the terms: (6 + -1y)(-7 + 2y) = 0 Multiply (6 + -1y) * (-7 + 2y) (6(-7 + 2y) + -1y * (-7 + 2y)) = 0 ((-7 * 6 + 2y * 6) + -1y * (-7 + 2y)) = 0 ((-42 + 12y) + -1y * (-7 + 2y)) = 0 (-42 + 12y + (-7 * -1y + 2y * -1y)) = 0 (-42 + 12y + (7y + -2y2)) = 0 Combine like terms: 12y + 7y = 19y (-42 + 19y + -2y2) = 0 Solving -42 + 19y + -2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-6 + y)(7 + -2y) = 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 + -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 = {6, 3.5}
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