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Simplifying 7(2y + 3) = 5(2y + 9) Reorder the terms: 7(3 + 2y) = 5(2y + 9) (3 * 7 + 2y * 7) = 5(2y + 9) (21 + 14y) = 5(2y + 9) Reorder the terms: 21 + 14y = 5(9 + 2y) 21 + 14y = (9 * 5 + 2y * 5) 21 + 14y = (45 + 10y) Solving 21 + 14y = 45 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 21 + 14y + -10y = 45 + 10y + -10y Combine like terms: 14y + -10y = 4y 21 + 4y = 45 + 10y + -10y Combine like terms: 10y + -10y = 0 21 + 4y = 45 + 0 21 + 4y = 45 Add '-21' to each side of the equation. 21 + -21 + 4y = 45 + -21 Combine like terms: 21 + -21 = 0 0 + 4y = 45 + -21 4y = 45 + -21 Combine like terms: 45 + -21 = 24 4y = 24 Divide each side by '4'. y = 6 Simplifying y = 6
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