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Simplifying 3(8y + 1) = -1(6y + -363) Reorder the terms: 3(1 + 8y) = -1(6y + -363) (1 * 3 + 8y * 3) = -1(6y + -363) (3 + 24y) = -1(6y + -363) Reorder the terms: 3 + 24y = -1(-363 + 6y) 3 + 24y = (-363 * -1 + 6y * -1) 3 + 24y = (363 + -6y) Solving 3 + 24y = 363 + -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. 3 + 24y + 6y = 363 + -6y + 6y Combine like terms: 24y + 6y = 30y 3 + 30y = 363 + -6y + 6y Combine like terms: -6y + 6y = 0 3 + 30y = 363 + 0 3 + 30y = 363 Add '-3' to each side of the equation. 3 + -3 + 30y = 363 + -3 Combine like terms: 3 + -3 = 0 0 + 30y = 363 + -3 30y = 363 + -3 Combine like terms: 363 + -3 = 360 30y = 360 Divide each side by '30'. y = 12 Simplifying y = 12
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