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Simplifying 0 = -1y2 + 8y + -18 Reorder the terms: 0 = -18 + 8y + -1y2 Solving 0 = -18 + 8y + -1y2 Solving for variable 'y'. Combine like terms: 0 + 18 = 18 18 + -8y + y2 = -18 + 8y + -1y2 + 18 + -8y + y2 Reorder the terms: 18 + -8y + y2 = -18 + 18 + 8y + -8y + -1y2 + y2 Combine like terms: -18 + 18 = 0 18 + -8y + y2 = 0 + 8y + -8y + -1y2 + y2 18 + -8y + y2 = 8y + -8y + -1y2 + y2 Combine like terms: 8y + -8y = 0 18 + -8y + y2 = 0 + -1y2 + y2 18 + -8y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 18 + -8y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -8y + -18 + y2 = 0 + -18 Reorder the terms: 18 + -18 + -8y + y2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -8y + y2 = 0 + -18 -8y + y2 = 0 + -18 Combine like terms: 0 + -18 = -18 -8y + y2 = -18 The y term is -8y. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8y + 16 + y2 = -18 + 16 Reorder the terms: 16 + -8y + y2 = -18 + 16 Combine like terms: -18 + 16 = -2 16 + -8y + y2 = -2 Factor a perfect square on the left side: (y + -4)(y + -4) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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