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Simplifying 8(3 + -1y) = 3(y + 2) (3 * 8 + -1y * 8) = 3(y + 2) (24 + -8y) = 3(y + 2) Reorder the terms: 24 + -8y = 3(2 + y) 24 + -8y = (2 * 3 + y * 3) 24 + -8y = (6 + 3y) Solving 24 + -8y = 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. 24 + -8y + -3y = 6 + 3y + -3y Combine like terms: -8y + -3y = -11y 24 + -11y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 24 + -11y = 6 + 0 24 + -11y = 6 Add '-24' to each side of the equation. 24 + -24 + -11y = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -11y = 6 + -24 -11y = 6 + -24 Combine like terms: 6 + -24 = -18 -11y = -18 Divide each side by '-11'. y = 1.636363636 Simplifying y = 1.636363636
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