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Simplifying -4y + -6(4y + -2) = -3 + -3(1 + -1y) Reorder the terms: -4y + -6(-2 + 4y) = -3 + -3(1 + -1y) -4y + (-2 * -6 + 4y * -6) = -3 + -3(1 + -1y) -4y + (12 + -24y) = -3 + -3(1 + -1y) Reorder the terms: 12 + -4y + -24y = -3 + -3(1 + -1y) Combine like terms: -4y + -24y = -28y 12 + -28y = -3 + -3(1 + -1y) 12 + -28y = -3 + (1 * -3 + -1y * -3) 12 + -28y = -3 + (-3 + 3y) Combine like terms: -3 + -3 = -6 12 + -28y = -6 + 3y Solving 12 + -28y = -6 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 12 + -28y + -3y = -6 + 3y + -3y Combine like terms: -28y + -3y = -31y 12 + -31y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 12 + -31y = -6 + 0 12 + -31y = -6 Add '-12' to each side of the equation. 12 + -12 + -31y = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -31y = -6 + -12 -31y = -6 + -12 Combine like terms: -6 + -12 = -18 -31y = -18 Divide each side by '-31'. y = 0.5806451613 Simplifying y = 0.5806451613
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