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Simplifying 7(y + 1) = 9 + -1y Reorder the terms: 7(1 + y) = 9 + -1y (1 * 7 + y * 7) = 9 + -1y (7 + 7y) = 9 + -1y Solving 7 + 7y = 9 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 7 + 7y + y = 9 + -1y + y Combine like terms: 7y + y = 8y 7 + 8y = 9 + -1y + y Combine like terms: -1y + y = 0 7 + 8y = 9 + 0 7 + 8y = 9 Add '-7' to each side of the equation. 7 + -7 + 8y = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 8y = 9 + -7 8y = 9 + -7 Combine like terms: 9 + -7 = 2 8y = 2 Divide each side by '8'. y = 0.25 Simplifying y = 0.25
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