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Simplifying y(2 + -1y) = 6 + -1(y + 3y + -4) (2 * y + -1y * y) = 6 + -1(y + 3y + -4) (2y + -1y2) = 6 + -1(y + 3y + -4) Reorder the terms: 2y + -1y2 = 6 + -1(-4 + y + 3y) Combine like terms: y + 3y = 4y 2y + -1y2 = 6 + -1(-4 + 4y) 2y + -1y2 = 6 + (-4 * -1 + 4y * -1) 2y + -1y2 = 6 + (4 + -4y) Combine like terms: 6 + 4 = 10 2y + -1y2 = 10 + -4y Solving 2y + -1y2 = 10 + -4y Solving for variable 'y'. Reorder the terms: -10 + 2y + 4y + -1y2 = 10 + -4y + -10 + 4y Combine like terms: 2y + 4y = 6y -10 + 6y + -1y2 = 10 + -4y + -10 + 4y Reorder the terms: -10 + 6y + -1y2 = 10 + -10 + -4y + 4y Combine like terms: 10 + -10 = 0 -10 + 6y + -1y2 = 0 + -4y + 4y -10 + 6y + -1y2 = -4y + 4y Combine like terms: -4y + 4y = 0 -10 + 6y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 10 + -6y + y2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -6y + -10 + y2 = 0 + -10 Reorder the terms: 10 + -10 + -6y + y2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -6y + y2 = 0 + -10 -6y + y2 = 0 + -10 Combine like terms: 0 + -10 = -10 -6y + y2 = -10 The y term is -6y. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6y + 9 + y2 = -10 + 9 Reorder the terms: 9 + -6y + y2 = -10 + 9 Combine like terms: -10 + 9 = -1 9 + -6y + y2 = -1 Factor a perfect square on the left side: (y + -3)(y + -3) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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