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Simplifying y2 + 4y + 30 = y + 4 Reorder the terms: 30 + 4y + y2 = y + 4 Reorder the terms: 30 + 4y + y2 = 4 + y Solving 30 + 4y + y2 = 4 + y Solving for variable 'y'. Reorder the terms: 30 + -4 + 4y + -1y + y2 = 4 + y + -4 + -1y Combine like terms: 30 + -4 = 26 26 + 4y + -1y + y2 = 4 + y + -4 + -1y Combine like terms: 4y + -1y = 3y 26 + 3y + y2 = 4 + y + -4 + -1y Reorder the terms: 26 + 3y + y2 = 4 + -4 + y + -1y Combine like terms: 4 + -4 = 0 26 + 3y + y2 = 0 + y + -1y 26 + 3y + y2 = y + -1y Combine like terms: y + -1y = 0 26 + 3y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-26' to each side of the equation. 26 + 3y + -26 + y2 = 0 + -26 Reorder the terms: 26 + -26 + 3y + y2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 3y + y2 = 0 + -26 3y + y2 = 0 + -26 Combine like terms: 0 + -26 = -26 3y + y2 = -26 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 = -26 + 2.25 Reorder the terms: 2.25 + 3y + y2 = -26 + 2.25 Combine like terms: -26 + 2.25 = -23.75 2.25 + 3y + y2 = -23.75 Factor a perfect square on the left side: (y + 1.5)(y + 1.5) = -23.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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