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Simplifying -1y + 1 = 1 + 8y Reorder the terms: 1 + -1y = 1 + 8y Add '-1' to each side of the equation. 1 + -1 + -1y = 1 + -1 + 8y Combine like terms: 1 + -1 = 0 0 + -1y = 1 + -1 + 8y -1y = 1 + -1 + 8y Combine like terms: 1 + -1 = 0 -1y = 0 + 8y -1y = 8y Solving -1y = 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. -1y + -8y = 8y + -8y Combine like terms: -1y + -8y = -9y -9y = 8y + -8y Combine like terms: 8y + -8y = 0 -9y = 0 Divide each side by '-9'. y = 0 Simplifying y = 0
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