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Simplifying 2(y + 9) = 5y + 27 Reorder the terms: 2(9 + y) = 5y + 27 (9 * 2 + y * 2) = 5y + 27 (18 + 2y) = 5y + 27 Reorder the terms: 18 + 2y = 27 + 5y Solving 18 + 2y = 27 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 18 + 2y + -5y = 27 + 5y + -5y Combine like terms: 2y + -5y = -3y 18 + -3y = 27 + 5y + -5y Combine like terms: 5y + -5y = 0 18 + -3y = 27 + 0 18 + -3y = 27 Add '-18' to each side of the equation. 18 + -18 + -3y = 27 + -18 Combine like terms: 18 + -18 = 0 0 + -3y = 27 + -18 -3y = 27 + -18 Combine like terms: 27 + -18 = 9 -3y = 9 Divide each side by '-3'. y = -3 Simplifying y = -3
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