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Simplifying 11(y + 1) = 4(y + 8) Reorder the terms: 11(1 + y) = 4(y + 8) (1 * 11 + y * 11) = 4(y + 8) (11 + 11y) = 4(y + 8) Reorder the terms: 11 + 11y = 4(8 + y) 11 + 11y = (8 * 4 + y * 4) 11 + 11y = (32 + 4y) Solving 11 + 11y = 32 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 11 + 11y + -4y = 32 + 4y + -4y Combine like terms: 11y + -4y = 7y 11 + 7y = 32 + 4y + -4y Combine like terms: 4y + -4y = 0 11 + 7y = 32 + 0 11 + 7y = 32 Add '-11' to each side of the equation. 11 + -11 + 7y = 32 + -11 Combine like terms: 11 + -11 = 0 0 + 7y = 32 + -11 7y = 32 + -11 Combine like terms: 32 + -11 = 21 7y = 21 Divide each side by '7'. y = 3 Simplifying y = 3
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