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Simplifying 8 + -6x + -3[y + -2(3y + x + -1)] = 0 Reorder the terms: 8 + -6x + -3[y + -2(-1 + x + 3y)] = 0 8 + -6x + -3[y + (-1 * -2 + x * -2 + 3y * -2)] = 0 8 + -6x + -3[y + (2 + -2x + -6y)] = 0 Reorder the terms: 8 + -6x + -3[2 + -2x + y + -6y] = 0 Combine like terms: y + -6y = -5y 8 + -6x + -3[2 + -2x + -5y] = 0 8 + -6x + [2 * -3 + -2x * -3 + -5y * -3] = 0 8 + -6x + [-6 + 6x + 15y] = 0 Reorder the terms: 8 + -6 + -6x + 6x + 15y = 0 Combine like terms: 8 + -6 = 2 2 + -6x + 6x + 15y = 0 Combine like terms: -6x + 6x = 0 2 + 0 + 15y = 0 2 + 15y = 0 Solving 2 + 15y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 15y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 15y = 0 + -2 15y = 0 + -2 Combine like terms: 0 + -2 = -2 15y = -2 Divide each side by '15'. y = -0.1333333333 Simplifying y = -0.1333333333
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