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Simplifying 3(12 + -1y) = 8 + 3y (12 * 3 + -1y * 3) = 8 + 3y (36 + -3y) = 8 + 3y Solving 36 + -3y = 8 + 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. 36 + -3y + -3y = 8 + 3y + -3y Combine like terms: -3y + -3y = -6y 36 + -6y = 8 + 3y + -3y Combine like terms: 3y + -3y = 0 36 + -6y = 8 + 0 36 + -6y = 8 Add '-36' to each side of the equation. 36 + -36 + -6y = 8 + -36 Combine like terms: 36 + -36 = 0 0 + -6y = 8 + -36 -6y = 8 + -36 Combine like terms: 8 + -36 = -28 -6y = -28 Divide each side by '-6'. y = 4.666666667 Simplifying y = 4.666666667
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