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Simplifying 3y = 6[5 + -3(6 + -1y)] 3y = 6[5 + (6 * -3 + -1y * -3)] 3y = 6[5 + (-18 + 3y)] Combine like terms: 5 + -18 = -13 3y = 6[-13 + 3y] 3y = [-13 * 6 + 3y * 6] 3y = [-78 + 18y] Solving 3y = -78 + 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. 3y + -18y = -78 + 18y + -18y Combine like terms: 3y + -18y = -15y -15y = -78 + 18y + -18y Combine like terms: 18y + -18y = 0 -15y = -78 + 0 -15y = -78 Divide each side by '-15'. y = 5.2 Simplifying y = 5.2
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