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Simplifying y2 + 13 + 8 = 6y + -4 Reorder the terms: 13 + 8 + y2 = 6y + -4 Combine like terms: 13 + 8 = 21 21 + y2 = 6y + -4 Reorder the terms: 21 + y2 = -4 + 6y Solving 21 + y2 = -4 + 6y Solving for variable 'y'. Reorder the terms: 21 + 4 + -6y + y2 = -4 + 6y + 4 + -6y Combine like terms: 21 + 4 = 25 25 + -6y + y2 = -4 + 6y + 4 + -6y Reorder the terms: 25 + -6y + y2 = -4 + 4 + 6y + -6y Combine like terms: -4 + 4 = 0 25 + -6y + y2 = 0 + 6y + -6y 25 + -6y + y2 = 6y + -6y Combine like terms: 6y + -6y = 0 25 + -6y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -6y + -25 + y2 = 0 + -25 Reorder the terms: 25 + -25 + -6y + y2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -6y + y2 = 0 + -25 -6y + y2 = 0 + -25 Combine like terms: 0 + -25 = -25 -6y + y2 = -25 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 = -25 + 9 Reorder the terms: 9 + -6y + y2 = -25 + 9 Combine like terms: -25 + 9 = -16 9 + -6y + y2 = -16 Factor a perfect square on the left side: (y + -3)(y + -3) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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