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Simplifying 45 = -5(6y + 3) Reorder the terms: 45 = -5(3 + 6y) 45 = (3 * -5 + 6y * -5) 45 = (-15 + -30y) Solving 45 = -15 + -30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30y' to each side of the equation. 45 + 30y = -15 + -30y + 30y Combine like terms: -30y + 30y = 0 45 + 30y = -15 + 0 45 + 30y = -15 Add '-45' to each side of the equation. 45 + -45 + 30y = -15 + -45 Combine like terms: 45 + -45 = 0 0 + 30y = -15 + -45 30y = -15 + -45 Combine like terms: -15 + -45 = -60 30y = -60 Divide each side by '30'. y = -2 Simplifying y = -2
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