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Simplifying 3(1 + -2y) = 8 + -3y (1 * 3 + -2y * 3) = 8 + -3y (3 + -6y) = 8 + -3y Solving 3 + -6y = 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. 3 + -6y + 3y = 8 + -3y + 3y Combine like terms: -6y + 3y = -3y 3 + -3y = 8 + -3y + 3y Combine like terms: -3y + 3y = 0 3 + -3y = 8 + 0 3 + -3y = 8 Add '-3' to each side of the equation. 3 + -3 + -3y = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -3y = 8 + -3 -3y = 8 + -3 Combine like terms: 8 + -3 = 5 -3y = 5 Divide each side by '-3'. y = -1.666666667 Simplifying y = -1.666666667
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