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Simplifying (y * y + 4) + -1(y + -2 * 8) = 0 Multiply y * y (y2 + 4) + -1(y + -2 * 8) = 0 Reorder the terms: (4 + y2) + -1(y + -2 * 8) = 0 Remove parenthesis around (4 + y2) 4 + y2 + -1(y + -2 * 8) = 0 Multiply -2 * 8 4 + y2 + -1(y + -16) = 0 Reorder the terms: 4 + y2 + -1(-16 + y) = 0 4 + y2 + (-16 * -1 + y * -1) = 0 4 + y2 + (16 + -1y) = 0 Reorder the terms: 4 + 16 + -1y + y2 = 0 Combine like terms: 4 + 16 = 20 20 + -1y + y2 = 0 Solving 20 + -1y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + -1y + -20 + y2 = 0 + -20 Reorder the terms: 20 + -20 + -1y + y2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1y + y2 = 0 + -20 -1y + y2 = 0 + -20 Combine like terms: 0 + -20 = -20 -1y + y2 = -20 The y term is -1y. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1y + 0.25 + y2 = -20 + 0.25 Reorder the terms: 0.25 + -1y + y2 = -20 + 0.25 Combine like terms: -20 + 0.25 = -19.75 0.25 + -1y + y2 = -19.75 Factor a perfect square on the left side: (y + -0.5)(y + -0.5) = -19.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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