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Simplifying y2 + -9 = 6y + -18 Reorder the terms: -9 + y2 = 6y + -18 Reorder the terms: -9 + y2 = -18 + 6y Solving -9 + y2 = -18 + 6y Solving for variable 'y'. Reorder the terms: -9 + 18 + -6y + y2 = -18 + 6y + 18 + -6y Combine like terms: -9 + 18 = 9 9 + -6y + y2 = -18 + 6y + 18 + -6y Reorder the terms: 9 + -6y + y2 = -18 + 18 + 6y + -6y Combine like terms: -18 + 18 = 0 9 + -6y + y2 = 0 + 6y + -6y 9 + -6y + y2 = 6y + -6y Combine like terms: 6y + -6y = 0 9 + -6y + y2 = 0 Factor a trinomial. (3 + -1y)(3 + -1y) = 0Subproblem 1
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 = 3Subproblem 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 = {3, 3}
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