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Simplifying -5[3y + -2(6 + -1y)] = 0 -5[3y + (6 * -2 + -1y * -2)] = 0 -5[3y + (-12 + 2y)] = 0 Reorder the terms: -5[-12 + 3y + 2y] = 0 Combine like terms: 3y + 2y = 5y -5[-12 + 5y] = 0 [-12 * -5 + 5y * -5] = 0 [60 + -25y] = 0 Solving 60 + -25y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -25y = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -25y = 0 + -60 -25y = 0 + -60 Combine like terms: 0 + -60 = -60 -25y = -60 Divide each side by '-25'. y = 2.4 Simplifying y = 2.4
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