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Simplifying 2(2y + 3) = 27 + y Reorder the terms: 2(3 + 2y) = 27 + y (3 * 2 + 2y * 2) = 27 + y (6 + 4y) = 27 + y Solving 6 + 4y = 27 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 6 + 4y + -1y = 27 + y + -1y Combine like terms: 4y + -1y = 3y 6 + 3y = 27 + y + -1y Combine like terms: y + -1y = 0 6 + 3y = 27 + 0 6 + 3y = 27 Add '-6' to each side of the equation. 6 + -6 + 3y = 27 + -6 Combine like terms: 6 + -6 = 0 0 + 3y = 27 + -6 3y = 27 + -6 Combine like terms: 27 + -6 = 21 3y = 21 Divide each side by '3'. y = 7 Simplifying y = 7
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