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Simplifying -1 + -2(3y + -8) = -6(4y + -5) + 4 Reorder the terms: -1 + -2(-8 + 3y) = -6(4y + -5) + 4 -1 + (-8 * -2 + 3y * -2) = -6(4y + -5) + 4 -1 + (16 + -6y) = -6(4y + -5) + 4 Combine like terms: -1 + 16 = 15 15 + -6y = -6(4y + -5) + 4 Reorder the terms: 15 + -6y = -6(-5 + 4y) + 4 15 + -6y = (-5 * -6 + 4y * -6) + 4 15 + -6y = (30 + -24y) + 4 Reorder the terms: 15 + -6y = 30 + 4 + -24y Combine like terms: 30 + 4 = 34 15 + -6y = 34 + -24y Solving 15 + -6y = 34 + -24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24y' to each side of the equation. 15 + -6y + 24y = 34 + -24y + 24y Combine like terms: -6y + 24y = 18y 15 + 18y = 34 + -24y + 24y Combine like terms: -24y + 24y = 0 15 + 18y = 34 + 0 15 + 18y = 34 Add '-15' to each side of the equation. 15 + -15 + 18y = 34 + -15 Combine like terms: 15 + -15 = 0 0 + 18y = 34 + -15 18y = 34 + -15 Combine like terms: 34 + -15 = 19 18y = 19 Divide each side by '18'. y = 1.055555556 Simplifying y = 1.055555556
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