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Simplifying 6y + 27 = 3(y + 1) Reorder the terms: 27 + 6y = 3(y + 1) Reorder the terms: 27 + 6y = 3(1 + y) 27 + 6y = (1 * 3 + y * 3) 27 + 6y = (3 + 3y) Solving 27 + 6y = 3 + 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. 27 + 6y + -3y = 3 + 3y + -3y Combine like terms: 6y + -3y = 3y 27 + 3y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 27 + 3y = 3 + 0 27 + 3y = 3 Add '-27' to each side of the equation. 27 + -27 + 3y = 3 + -27 Combine like terms: 27 + -27 = 0 0 + 3y = 3 + -27 3y = 3 + -27 Combine like terms: 3 + -27 = -24 3y = -24 Divide each side by '3'. y = -8 Simplifying y = -8
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