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Simplifying 6y + -10 = y2 + 3y Reorder the terms: -10 + 6y = y2 + 3y Reorder the terms: -10 + 6y = 3y + y2 Solving -10 + 6y = 3y + y2 Solving for variable 'y'. Combine like terms: 6y + -3y = 3y -10 + 3y + -1y2 = 3y + y2 + -3y + -1y2 Reorder the terms: -10 + 3y + -1y2 = 3y + -3y + y2 + -1y2 Combine like terms: 3y + -3y = 0 -10 + 3y + -1y2 = 0 + y2 + -1y2 -10 + 3y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -10 + 3y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 10 + -3y + y2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -3y + -10 + y2 = 0 + -10 Reorder the terms: 10 + -10 + -3y + y2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3y + y2 = 0 + -10 -3y + y2 = 0 + -10 Combine like terms: 0 + -10 = -10 -3y + y2 = -10 The y term is -3y. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3y + 2.25 + y2 = -10 + 2.25 Reorder the terms: 2.25 + -3y + y2 = -10 + 2.25 Combine like terms: -10 + 2.25 = -7.75 2.25 + -3y + y2 = -7.75 Factor a perfect square on the left side: (y + -1.5)(y + -1.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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