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Simplifying -2 + -4(-6y + -8) = -1(-6y + -4) + -2 Reorder the terms: -2 + -4(-8 + -6y) = -1(-6y + -4) + -2 -2 + (-8 * -4 + -6y * -4) = -1(-6y + -4) + -2 -2 + (32 + 24y) = -1(-6y + -4) + -2 Combine like terms: -2 + 32 = 30 30 + 24y = -1(-6y + -4) + -2 Reorder the terms: 30 + 24y = -1(-4 + -6y) + -2 30 + 24y = (-4 * -1 + -6y * -1) + -2 30 + 24y = (4 + 6y) + -2 Reorder the terms: 30 + 24y = 4 + -2 + 6y Combine like terms: 4 + -2 = 2 30 + 24y = 2 + 6y Solving 30 + 24y = 2 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 30 + 24y + -6y = 2 + 6y + -6y Combine like terms: 24y + -6y = 18y 30 + 18y = 2 + 6y + -6y Combine like terms: 6y + -6y = 0 30 + 18y = 2 + 0 30 + 18y = 2 Add '-30' to each side of the equation. 30 + -30 + 18y = 2 + -30 Combine like terms: 30 + -30 = 0 0 + 18y = 2 + -30 18y = 2 + -30 Combine like terms: 2 + -30 = -28 18y = -28 Divide each side by '18'. y = -1.555555556 Simplifying y = -1.555555556
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