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Simplifying 5y2 + -1y = 3y + -4 Reorder the terms: -1y + 5y2 = 3y + -4 Reorder the terms: -1y + 5y2 = -4 + 3y Solving -1y + 5y2 = -4 + 3y Solving for variable 'y'. Reorder the terms: 4 + -1y + -3y + 5y2 = -4 + 3y + 4 + -3y Combine like terms: -1y + -3y = -4y 4 + -4y + 5y2 = -4 + 3y + 4 + -3y Reorder the terms: 4 + -4y + 5y2 = -4 + 4 + 3y + -3y Combine like terms: -4 + 4 = 0 4 + -4y + 5y2 = 0 + 3y + -3y 4 + -4y + 5y2 = 3y + -3y Combine like terms: 3y + -3y = 0 4 + -4y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.8 + -0.8y + y2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + -0.8y + -0.8 + y2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + -0.8y + y2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.8y + y2 = 0 + -0.8 -0.8y + y2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 -0.8y + y2 = -0.8 The y term is -0.8y. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8y + 0.16 + y2 = -0.8 + 0.16 Reorder the terms: 0.16 + -0.8y + y2 = -0.8 + 0.16 Combine like terms: -0.8 + 0.16 = -0.64 0.16 + -0.8y + y2 = -0.64 Factor a perfect square on the left side: (y + -0.4)(y + -0.4) = -0.64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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