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Simplifying 9y + -8 = 4y * 7y + 16 Reorder the terms: -8 + 9y = 4y * 7y + 16 Reorder the terms for easier multiplication: -8 + 9y = 4 * 7y * y + 16 Multiply 4 * 7 -8 + 9y = 28y * y + 16 Multiply y * y -8 + 9y = 28y2 + 16 Reorder the terms: -8 + 9y = 16 + 28y2 Solving -8 + 9y = 16 + 28y2 Solving for variable 'y'. Reorder the terms: -8 + -16 + 9y + -28y2 = 16 + 28y2 + -16 + -28y2 Combine like terms: -8 + -16 = -24 -24 + 9y + -28y2 = 16 + 28y2 + -16 + -28y2 Reorder the terms: -24 + 9y + -28y2 = 16 + -16 + 28y2 + -28y2 Combine like terms: 16 + -16 = 0 -24 + 9y + -28y2 = 0 + 28y2 + -28y2 -24 + 9y + -28y2 = 28y2 + -28y2 Combine like terms: 28y2 + -28y2 = 0 -24 + 9y + -28y2 = 0 Begin completing the square. Divide all terms by -28 the coefficient of the squared term: Divide each side by '-28'. 0.8571428571 + -0.3214285714y + y2 = 0 Move the constant term to the right: Add '-0.8571428571' to each side of the equation. 0.8571428571 + -0.3214285714y + -0.8571428571 + y2 = 0 + -0.8571428571 Reorder the terms: 0.8571428571 + -0.8571428571 + -0.3214285714y + y2 = 0 + -0.8571428571 Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000 0.0000000000 + -0.3214285714y + y2 = 0 + -0.8571428571 -0.3214285714y + y2 = 0 + -0.8571428571 Combine like terms: 0 + -0.8571428571 = -0.8571428571 -0.3214285714y + y2 = -0.8571428571 The y term is -0.3214285714y. Take half its coefficient (-0.1607142857). Square it (0.02582908163) and add it to both sides. Add '0.02582908163' to each side of the equation. -0.3214285714y + 0.02582908163 + y2 = -0.8571428571 + 0.02582908163 Reorder the terms: 0.02582908163 + -0.3214285714y + y2 = -0.8571428571 + 0.02582908163 Combine like terms: -0.8571428571 + 0.02582908163 = -0.83131377547 0.02582908163 + -0.3214285714y + y2 = -0.83131377547 Factor a perfect square on the left side: (y + -0.1607142857)(y + -0.1607142857) = -0.83131377547 Can't calculate square root of the right side. The solution to this equation could not be determined.
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