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Simplifying 7y + 3 = 2(2y + 9) Reorder the terms: 3 + 7y = 2(2y + 9) Reorder the terms: 3 + 7y = 2(9 + 2y) 3 + 7y = (9 * 2 + 2y * 2) 3 + 7y = (18 + 4y) Solving 3 + 7y = 18 + 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. 3 + 7y + -4y = 18 + 4y + -4y Combine like terms: 7y + -4y = 3y 3 + 3y = 18 + 4y + -4y Combine like terms: 4y + -4y = 0 3 + 3y = 18 + 0 3 + 3y = 18 Add '-3' to each side of the equation. 3 + -3 + 3y = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 3y = 18 + -3 3y = 18 + -3 Combine like terms: 18 + -3 = 15 3y = 15 Divide each side by '3'. y = 5 Simplifying y = 5
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