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Simplifying 3(2y + 6) = -4[-3y + -5(-1y + 10)] Reorder the terms: 3(6 + 2y) = -4[-3y + -5(-1y + 10)] (6 * 3 + 2y * 3) = -4[-3y + -5(-1y + 10)] (18 + 6y) = -4[-3y + -5(-1y + 10)] Reorder the terms: 18 + 6y = -4[-3y + -5(10 + -1y)] 18 + 6y = -4[-3y + (10 * -5 + -1y * -5)] 18 + 6y = -4[-3y + (-50 + 5y)] Reorder the terms: 18 + 6y = -4[-50 + -3y + 5y] Combine like terms: -3y + 5y = 2y 18 + 6y = -4[-50 + 2y] 18 + 6y = [-50 * -4 + 2y * -4] 18 + 6y = [200 + -8y] Solving 18 + 6y = 200 + -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. 18 + 6y + 8y = 200 + -8y + 8y Combine like terms: 6y + 8y = 14y 18 + 14y = 200 + -8y + 8y Combine like terms: -8y + 8y = 0 18 + 14y = 200 + 0 18 + 14y = 200 Add '-18' to each side of the equation. 18 + -18 + 14y = 200 + -18 Combine like terms: 18 + -18 = 0 0 + 14y = 200 + -18 14y = 200 + -18 Combine like terms: 200 + -18 = 182 14y = 182 Divide each side by '14'. y = 13 Simplifying y = 13
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