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Simplifying 81 + y2 = y2 + 8y + 16 Reorder the terms: 81 + y2 = 16 + 8y + y2 Add '-1y2' to each side of the equation. 81 + y2 + -1y2 = 16 + 8y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 81 + 0 = 16 + 8y + y2 + -1y2 81 = 16 + 8y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 81 = 16 + 8y + 0 81 = 16 + 8y Solving 81 = 16 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 81 + -8y = 16 + 8y + -8y Combine like terms: 8y + -8y = 0 81 + -8y = 16 + 0 81 + -8y = 16 Add '-81' to each side of the equation. 81 + -81 + -8y = 16 + -81 Combine like terms: 81 + -81 = 0 0 + -8y = 16 + -81 -8y = 16 + -81 Combine like terms: 16 + -81 = -65 -8y = -65 Divide each side by '-8'. y = 8.125 Simplifying y = 8.125
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