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Simplifying y(y) + -20y = -118 Multiply y * y y2 + -20y = -118 Reorder the terms: -20y + y2 = -118 Solving -20y + y2 = -118 Solving for variable 'y'. Reorder the terms: 118 + -20y + y2 = -118 + 118 Combine like terms: -118 + 118 = 0 118 + -20y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-118' to each side of the equation. 118 + -20y + -118 + y2 = 0 + -118 Reorder the terms: 118 + -118 + -20y + y2 = 0 + -118 Combine like terms: 118 + -118 = 0 0 + -20y + y2 = 0 + -118 -20y + y2 = 0 + -118 Combine like terms: 0 + -118 = -118 -20y + y2 = -118 The y term is -20y. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20y + 100 + y2 = -118 + 100 Reorder the terms: 100 + -20y + y2 = -118 + 100 Combine like terms: -118 + 100 = -18 100 + -20y + y2 = -18 Factor a perfect square on the left side: (y + -10)(y + -10) = -18 Can't calculate square root of the right side. The solution to this equation could not be determined.
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