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Simplifying 5y2 + -1y = y + -4 Reorder the terms: -1y + 5y2 = y + -4 Reorder the terms: -1y + 5y2 = -4 + y Solving -1y + 5y2 = -4 + y Solving for variable 'y'. Reorder the terms: 4 + -1y + -1y + 5y2 = -4 + y + 4 + -1y Combine like terms: -1y + -1y = -2y 4 + -2y + 5y2 = -4 + y + 4 + -1y Reorder the terms: 4 + -2y + 5y2 = -4 + 4 + y + -1y Combine like terms: -4 + 4 = 0 4 + -2y + 5y2 = 0 + y + -1y 4 + -2y + 5y2 = y + -1y Combine like terms: y + -1y = 0 4 + -2y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.8 + -0.4y + y2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + -0.4y + -0.8 + y2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + -0.4y + y2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.4y + y2 = 0 + -0.8 -0.4y + y2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 -0.4y + y2 = -0.8 The y term is -0.4y. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4y + 0.04 + y2 = -0.8 + 0.04 Reorder the terms: 0.04 + -0.4y + y2 = -0.8 + 0.04 Combine like terms: -0.8 + 0.04 = -0.76 0.04 + -0.4y + y2 = -0.76 Factor a perfect square on the left side: (y + -0.2)(y + -0.2) = -0.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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