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Simplifying 27 = 3(y + 7) + -6y Reorder the terms: 27 = 3(7 + y) + -6y 27 = (7 * 3 + y * 3) + -6y 27 = (21 + 3y) + -6y Combine like terms: 3y + -6y = -3y 27 = 21 + -3y Solving 27 = 21 + -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 + 3y = 21 + -3y + 3y Combine like terms: -3y + 3y = 0 27 + 3y = 21 + 0 27 + 3y = 21 Add '-27' to each side of the equation. 27 + -27 + 3y = 21 + -27 Combine like terms: 27 + -27 = 0 0 + 3y = 21 + -27 3y = 21 + -27 Combine like terms: 21 + -27 = -6 3y = -6 Divide each side by '3'. y = -2 Simplifying y = -2
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