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Simplifying -1y2 + 12y = 60 Reorder the terms: 12y + -1y2 = 60 Solving 12y + -1y2 = 60 Solving for variable 'y'. Reorder the terms: -60 + 12y + -1y2 = 60 + -60 Combine like terms: 60 + -60 = 0 -60 + 12y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 60 + -12y + y2 = 0 Move the constant term to the right: Add '-60' to each side of the equation. 60 + -12y + -60 + y2 = 0 + -60 Reorder the terms: 60 + -60 + -12y + y2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -12y + y2 = 0 + -60 -12y + y2 = 0 + -60 Combine like terms: 0 + -60 = -60 -12y + y2 = -60 The y term is -12y. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12y + 36 + y2 = -60 + 36 Reorder the terms: 36 + -12y + y2 = -60 + 36 Combine like terms: -60 + 36 = -24 36 + -12y + y2 = -24 Factor a perfect square on the left side: (y + -6)(y + -6) = -24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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