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Simplifying 6(1 + 5y) = 6(y + -3) (1 * 6 + 5y * 6) = 6(y + -3) (6 + 30y) = 6(y + -3) Reorder the terms: 6 + 30y = 6(-3 + y) 6 + 30y = (-3 * 6 + y * 6) 6 + 30y = (-18 + 6y) Solving 6 + 30y = -18 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 6 + 30y + -6y = -18 + 6y + -6y Combine like terms: 30y + -6y = 24y 6 + 24y = -18 + 6y + -6y Combine like terms: 6y + -6y = 0 6 + 24y = -18 + 0 6 + 24y = -18 Add '-6' to each side of the equation. 6 + -6 + 24y = -18 + -6 Combine like terms: 6 + -6 = 0 0 + 24y = -18 + -6 24y = -18 + -6 Combine like terms: -18 + -6 = -24 24y = -24 Divide each side by '24'. y = -1 Simplifying y = -1
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