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Simplifying 78 = -6(3y + 5) Reorder the terms: 78 = -6(5 + 3y) 78 = (5 * -6 + 3y * -6) 78 = (-30 + -18y) Solving 78 = -30 + -18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18y' to each side of the equation. 78 + 18y = -30 + -18y + 18y Combine like terms: -18y + 18y = 0 78 + 18y = -30 + 0 78 + 18y = -30 Add '-78' to each side of the equation. 78 + -78 + 18y = -30 + -78 Combine like terms: 78 + -78 = 0 0 + 18y = -30 + -78 18y = -30 + -78 Combine like terms: -30 + -78 = -108 18y = -108 Divide each side by '18'. y = -6 Simplifying y = -6
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