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Simplifying (y2 + -6y) + -2(y2 + -6y) + -35 = 0 Reorder the terms: (-6y + y2) + -2(y2 + -6y) + -35 = 0 Remove parenthesis around (-6y + y2) -6y + y2 + -2(y2 + -6y) + -35 = 0 Reorder the terms: -6y + y2 + -2(-6y + y2) + -35 = 0 -6y + y2 + (-6y * -2 + y2 * -2) + -35 = 0 -6y + y2 + (12y + -2y2) + -35 = 0 Reorder the terms: -35 + -6y + 12y + y2 + -2y2 = 0 Combine like terms: -6y + 12y = 6y -35 + 6y + y2 + -2y2 = 0 Combine like terms: y2 + -2y2 = -1y2 -35 + 6y + -1y2 = 0 Solving -35 + 6y + -1y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 35 + -6y + y2 = 0 Move the constant term to the right: Add '-35' to each side of the equation. 35 + -6y + -35 + y2 = 0 + -35 Reorder the terms: 35 + -35 + -6y + y2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -6y + y2 = 0 + -35 -6y + y2 = 0 + -35 Combine like terms: 0 + -35 = -35 -6y + y2 = -35 The y term is -6y. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6y + 9 + y2 = -35 + 9 Reorder the terms: 9 + -6y + y2 = -35 + 9 Combine like terms: -35 + 9 = -26 9 + -6y + y2 = -26 Factor a perfect square on the left side: (y + -3)(y + -3) = -26 Can't calculate square root of the right side. The solution to this equation could not be determined.
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