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Simplifying 3[3y + 2] = 2[3y + 4] Reorder the terms: 3[2 + 3y] = 2[3y + 4] [2 * 3 + 3y * 3] = 2[3y + 4] [6 + 9y] = 2[3y + 4] Reorder the terms: 6 + 9y = 2[4 + 3y] 6 + 9y = [4 * 2 + 3y * 2] 6 + 9y = [8 + 6y] Solving 6 + 9y = 8 + 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. 6 + 9y + -6y = 8 + 6y + -6y Combine like terms: 9y + -6y = 3y 6 + 3y = 8 + 6y + -6y Combine like terms: 6y + -6y = 0 6 + 3y = 8 + 0 6 + 3y = 8 Add '-6' to each side of the equation. 6 + -6 + 3y = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 3y = 8 + -6 3y = 8 + -6 Combine like terms: 8 + -6 = 2 3y = 2 Divide each side by '3'. y = 0.6666666667 Simplifying y = 0.6666666667
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