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Simplifying 6[3y + -1] + -3[2y] = 14 Reorder the terms: 6[-1 + 3y] + -3[2y] = 14 [-1 * 6 + 3y * 6] + -3[2y] = 14 [-6 + 18y] + -3[2y] = 14 Remove brackets around [2y] -6 + 18y + -3 * 2y = 14 Multiply -3 * 2 -6 + 18y + -6y = 14 Combine like terms: 18y + -6y = 12y -6 + 12y = 14 Solving -6 + 12y = 14 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 12y = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 12y = 14 + 6 12y = 14 + 6 Combine like terms: 14 + 6 = 20 12y = 20 Divide each side by '12'. y = 1.666666667 Simplifying y = 1.666666667
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