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Simplifying 7(y + 1) = 8y + -8 Reorder the terms: 7(1 + y) = 8y + -8 (1 * 7 + y * 7) = 8y + -8 (7 + 7y) = 8y + -8 Reorder the terms: 7 + 7y = -8 + 8y Solving 7 + 7y = -8 + 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. 7 + 7y + -8y = -8 + 8y + -8y Combine like terms: 7y + -8y = -1y 7 + -1y = -8 + 8y + -8y Combine like terms: 8y + -8y = 0 7 + -1y = -8 + 0 7 + -1y = -8 Add '-7' to each side of the equation. 7 + -7 + -1y = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = -8 + -7 -1y = -8 + -7 Combine like terms: -8 + -7 = -15 -1y = -15 Divide each side by '-1'. y = 15 Simplifying y = 15
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