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Simplifying 3(y + 1) = -8y + 47 Reorder the terms: 3(1 + y) = -8y + 47 (1 * 3 + y * 3) = -8y + 47 (3 + 3y) = -8y + 47 Reorder the terms: 3 + 3y = 47 + -8y Solving 3 + 3y = 47 + -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. 3 + 3y + 8y = 47 + -8y + 8y Combine like terms: 3y + 8y = 11y 3 + 11y = 47 + -8y + 8y Combine like terms: -8y + 8y = 0 3 + 11y = 47 + 0 3 + 11y = 47 Add '-3' to each side of the equation. 3 + -3 + 11y = 47 + -3 Combine like terms: 3 + -3 = 0 0 + 11y = 47 + -3 11y = 47 + -3 Combine like terms: 47 + -3 = 44 11y = 44 Divide each side by '11'. y = 4 Simplifying y = 4
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