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Simplifying 7(y + 3) = 2(2y + 12) Reorder the terms: 7(3 + y) = 2(2y + 12) (3 * 7 + y * 7) = 2(2y + 12) (21 + 7y) = 2(2y + 12) Reorder the terms: 21 + 7y = 2(12 + 2y) 21 + 7y = (12 * 2 + 2y * 2) 21 + 7y = (24 + 4y) Solving 21 + 7y = 24 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 21 + 7y + -4y = 24 + 4y + -4y Combine like terms: 7y + -4y = 3y 21 + 3y = 24 + 4y + -4y Combine like terms: 4y + -4y = 0 21 + 3y = 24 + 0 21 + 3y = 24 Add '-21' to each side of the equation. 21 + -21 + 3y = 24 + -21 Combine like terms: 21 + -21 = 0 0 + 3y = 24 + -21 3y = 24 + -21 Combine like terms: 24 + -21 = 3 3y = 3 Divide each side by '3'. y = 1 Simplifying y = 1
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