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Simplifying 3(6 + 5y) = 2(9 + 4y) (6 * 3 + 5y * 3) = 2(9 + 4y) (18 + 15y) = 2(9 + 4y) 18 + 15y = (9 * 2 + 4y * 2) 18 + 15y = (18 + 8y) Add '-18' to each side of the equation. 18 + -18 + 15y = 18 + -18 + 8y Combine like terms: 18 + -18 = 0 0 + 15y = 18 + -18 + 8y 15y = 18 + -18 + 8y Combine like terms: 18 + -18 = 0 15y = 0 + 8y 15y = 8y Solving 15y = 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 15y + -8y = 8y + -8y Combine like terms: 15y + -8y = 7y 7y = 8y + -8y Combine like terms: 8y + -8y = 0 7y = 0 Divide each side by '7'. y = 0 Simplifying y = 0
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