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Simplifying 3(y + 1) + 8(y + 1) = -11 Reorder the terms: 3(1 + y) + 8(y + 1) = -11 (1 * 3 + y * 3) + 8(y + 1) = -11 (3 + 3y) + 8(y + 1) = -11 Reorder the terms: 3 + 3y + 8(1 + y) = -11 3 + 3y + (1 * 8 + y * 8) = -11 3 + 3y + (8 + 8y) = -11 Reorder the terms: 3 + 8 + 3y + 8y = -11 Combine like terms: 3 + 8 = 11 11 + 3y + 8y = -11 Combine like terms: 3y + 8y = 11y 11 + 11y = -11 Solving 11 + 11y = -11 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 11y = -11 + -11 Combine like terms: 11 + -11 = 0 0 + 11y = -11 + -11 11y = -11 + -11 Combine like terms: -11 + -11 = -22 11y = -22 Divide each side by '11'. y = -2 Simplifying y = -2
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