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Simplifying 8(y + 1) = 3y + -12 Reorder the terms: 8(1 + y) = 3y + -12 (1 * 8 + y * 8) = 3y + -12 (8 + 8y) = 3y + -12 Reorder the terms: 8 + 8y = -12 + 3y Solving 8 + 8y = -12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 8 + 8y + -3y = -12 + 3y + -3y Combine like terms: 8y + -3y = 5y 8 + 5y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + 5y = -12 + 0 8 + 5y = -12 Add '-8' to each side of the equation. 8 + -8 + 5y = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 5y = -12 + -8 5y = -12 + -8 Combine like terms: -12 + -8 = -20 5y = -20 Divide each side by '5'. y = -4 Simplifying y = -4
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