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Simplifying 7(y + 1) = 2y + -8 Reorder the terms: 7(1 + y) = 2y + -8 (1 * 7 + y * 7) = 2y + -8 (7 + 7y) = 2y + -8 Reorder the terms: 7 + 7y = -8 + 2y Solving 7 + 7y = -8 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 7 + 7y + -2y = -8 + 2y + -2y Combine like terms: 7y + -2y = 5y 7 + 5y = -8 + 2y + -2y Combine like terms: 2y + -2y = 0 7 + 5y = -8 + 0 7 + 5y = -8 Add '-7' to each side of the equation. 7 + -7 + 5y = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 5y = -8 + -7 5y = -8 + -7 Combine like terms: -8 + -7 = -15 5y = -15 Divide each side by '5'. y = -3 Simplifying y = -3
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