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Simplifying -57y = (2y + -3)(13y + -9) Reorder the terms: -57y = (-3 + 2y)(13y + -9) Reorder the terms: -57y = (-3 + 2y)(-9 + 13y) Multiply (-3 + 2y) * (-9 + 13y) -57y = (-3(-9 + 13y) + 2y * (-9 + 13y)) -57y = ((-9 * -3 + 13y * -3) + 2y * (-9 + 13y)) -57y = ((27 + -39y) + 2y * (-9 + 13y)) -57y = (27 + -39y + (-9 * 2y + 13y * 2y)) -57y = (27 + -39y + (-18y + 26y2)) Combine like terms: -39y + -18y = -57y -57y = (27 + -57y + 26y2) Add '57y' to each side of the equation. -57y + 57y = 27 + -57y + 57y + 26y2 Combine like terms: -57y + 57y = 0 0 = 27 + -57y + 57y + 26y2 Combine like terms: -57y + 57y = 0 0 = 27 + 0 + 26y2 0 = 27 + 26y2 Solving 0 = 27 + 26y2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-26y2' to each side of the equation. 0 + -26y2 = 27 + 26y2 + -26y2 Remove the zero: -26y2 = 27 + 26y2 + -26y2 Combine like terms: 26y2 + -26y2 = 0 -26y2 = 27 + 0 -26y2 = 27 Divide each side by '-26'. y2 = -1.038461538 Simplifying y2 = -1.038461538 Reorder the terms: 1.038461538 + y2 = -1.038461538 + 1.038461538 Combine like terms: -1.038461538 + 1.038461538 = 0.000000000 1.038461538 + y2 = 0.000000000 The solution to this equation could not be determined.
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