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Simplifying Y2 + 8y + 15 = y2 + -5y + -5y + 25 Reorder the terms: 15 + Y2 + 8y = y2 + -5y + -5y + 25 Reorder the terms: 15 + Y2 + 8y = 25 + -5y + -5y + y2 Combine like terms: -5y + -5y = -10y 15 + Y2 + 8y = 25 + -10y + y2 Solving 15 + Y2 + 8y = 25 + -10y + y2 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + Y2 + -15 + 8y = 25 + -10y + -15 + y2 Reorder the terms: 15 + -15 + Y2 + 8y = 25 + -10y + -15 + y2 Combine like terms: 15 + -15 = 0 0 + Y2 + 8y = 25 + -10y + -15 + y2 Y2 + 8y = 25 + -10y + -15 + y2 Reorder the terms: Y2 + 8y = 25 + -15 + -10y + y2 Combine like terms: 25 + -15 = 10 Y2 + 8y = 10 + -10y + y2 Add '-8y' to each side of the equation. Y2 + 8y + -8y = 10 + -10y + -8y + y2 Combine like terms: 8y + -8y = 0 Y2 + 0 = 10 + -10y + -8y + y2 Y2 = 10 + -10y + -8y + y2 Combine like terms: -10y + -8y = -18y Y2 = 10 + -18y + y2 Simplifying Y2 = 10 + -18y + y2 Reorder the terms: -10 + Y2 + 18y + -1y2 = 10 + -18y + y2 + -10 + 18y + -1y2 Reorder the terms: -10 + Y2 + 18y + -1y2 = 10 + -10 + -18y + 18y + y2 + -1y2 Combine like terms: 10 + -10 = 0 -10 + Y2 + 18y + -1y2 = 0 + -18y + 18y + y2 + -1y2 -10 + Y2 + 18y + -1y2 = -18y + 18y + y2 + -1y2 Combine like terms: -18y + 18y = 0 -10 + Y2 + 18y + -1y2 = 0 + y2 + -1y2 -10 + Y2 + 18y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -10 + Y2 + 18y + -1y2 = 0 The solution to this equation could not be determined.
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