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Simplifying (1 + -1y)(3y + -7) = 0 Reorder the terms: (1 + -1y)(-7 + 3y) = 0 Multiply (1 + -1y) * (-7 + 3y) (1(-7 + 3y) + -1y * (-7 + 3y)) = 0 ((-7 * 1 + 3y * 1) + -1y * (-7 + 3y)) = 0 ((-7 + 3y) + -1y * (-7 + 3y)) = 0 (-7 + 3y + (-7 * -1y + 3y * -1y)) = 0 (-7 + 3y + (7y + -3y2)) = 0 Combine like terms: 3y + 7y = 10y (-7 + 10y + -3y2) = 0 Solving -7 + 10y + -3y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + 3y)(1 + -1y) = 0Subproblem 1
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 = 2.333333333Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Solution
y = {2.333333333, 1}
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