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Simplifying y2 + -6y + 9 = 2y + -10 Reorder the terms: 9 + -6y + y2 = 2y + -10 Reorder the terms: 9 + -6y + y2 = -10 + 2y Solving 9 + -6y + y2 = -10 + 2y Solving for variable 'y'. Reorder the terms: 9 + 10 + -6y + -2y + y2 = -10 + 2y + 10 + -2y Combine like terms: 9 + 10 = 19 19 + -6y + -2y + y2 = -10 + 2y + 10 + -2y Combine like terms: -6y + -2y = -8y 19 + -8y + y2 = -10 + 2y + 10 + -2y Reorder the terms: 19 + -8y + y2 = -10 + 10 + 2y + -2y Combine like terms: -10 + 10 = 0 19 + -8y + y2 = 0 + 2y + -2y 19 + -8y + y2 = 2y + -2y Combine like terms: 2y + -2y = 0 19 + -8y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + -8y + -19 + y2 = 0 + -19 Reorder the terms: 19 + -19 + -8y + y2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -8y + y2 = 0 + -19 -8y + y2 = 0 + -19 Combine like terms: 0 + -19 = -19 -8y + y2 = -19 The y term is -8y. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8y + 16 + y2 = -19 + 16 Reorder the terms: 16 + -8y + y2 = -19 + 16 Combine like terms: -19 + 16 = -3 16 + -8y + y2 = -3 Factor a perfect square on the left side: (y + -4)(y + -4) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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