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Simplifying -6y + -4(6y + -6) = 1 + -1(1 + -1y) Reorder the terms: -6y + -4(-6 + 6y) = 1 + -1(1 + -1y) -6y + (-6 * -4 + 6y * -4) = 1 + -1(1 + -1y) -6y + (24 + -24y) = 1 + -1(1 + -1y) Reorder the terms: 24 + -6y + -24y = 1 + -1(1 + -1y) Combine like terms: -6y + -24y = -30y 24 + -30y = 1 + -1(1 + -1y) 24 + -30y = 1 + (1 * -1 + -1y * -1) 24 + -30y = 1 + (-1 + 1y) Combine like terms: 1 + -1 = 0 24 + -30y = 0 + 1y 24 + -30y = 1y Solving 24 + -30y = 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 24 + -30y + -1y = 1y + -1y Combine like terms: -30y + -1y = -31y 24 + -31y = 1y + -1y Combine like terms: 1y + -1y = 0 24 + -31y = 0 Add '-24' to each side of the equation. 24 + -24 + -31y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -31y = 0 + -24 -31y = 0 + -24 Combine like terms: 0 + -24 = -24 -31y = -24 Divide each side by '-31'. y = 0.7741935484 Simplifying y = 0.7741935484
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