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Simplifying y(7 + -1y) = 12 (7 * y + -1y * y) = 12 (7y + -1y2) = 12 Solving 7y + -1y2 = 12 Solving for variable 'y'. Reorder the terms: -12 + 7y + -1y2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 7y + -1y2 = 0 Factor a trinomial. (-4 + y)(3 + -1y) = 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 '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {4, 3}
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