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Simplifying 8(3 + -1y) = 2 + 3y (3 * 8 + -1y * 8) = 2 + 3y (24 + -8y) = 2 + 3y Solving 24 + -8y = 2 + 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 = 2 + 3y + -3y Combine like terms: -8y + -3y = -11y 24 + -11y = 2 + 3y + -3y Combine like terms: 3y + -3y = 0 24 + -11y = 2 + 0 24 + -11y = 2 Add '-24' to each side of the equation. 24 + -24 + -11y = 2 + -24 Combine like terms: 24 + -24 = 0 0 + -11y = 2 + -24 -11y = 2 + -24 Combine like terms: 2 + -24 = -22 -11y = -22 Divide each side by '-11'. y = 2 Simplifying y = 2
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