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Simplifying 3(6 + 9y) = 6 + -3y (6 * 3 + 9y * 3) = 6 + -3y (18 + 27y) = 6 + -3y Solving 18 + 27y = 6 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 18 + 27y + 3y = 6 + -3y + 3y Combine like terms: 27y + 3y = 30y 18 + 30y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 18 + 30y = 6 + 0 18 + 30y = 6 Add '-18' to each side of the equation. 18 + -18 + 30y = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 30y = 6 + -18 30y = 6 + -18 Combine like terms: 6 + -18 = -12 30y = -12 Divide each side by '30'. y = -0.4 Simplifying y = -0.4
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