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Simplifying 2[3y + -1] + 3[y + -4] = 13 Reorder the terms: 2[-1 + 3y] + 3[y + -4] = 13 [-1 * 2 + 3y * 2] + 3[y + -4] = 13 [-2 + 6y] + 3[y + -4] = 13 Reorder the terms: -2 + 6y + 3[-4 + y] = 13 -2 + 6y + [-4 * 3 + y * 3] = 13 -2 + 6y + [-12 + 3y] = 13 Reorder the terms: -2 + -12 + 6y + 3y = 13 Combine like terms: -2 + -12 = -14 -14 + 6y + 3y = 13 Combine like terms: 6y + 3y = 9y -14 + 9y = 13 Solving -14 + 9y = 13 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 9y = 13 + 14 Combine like terms: -14 + 14 = 0 0 + 9y = 13 + 14 9y = 13 + 14 Combine like terms: 13 + 14 = 27 9y = 27 Divide each side by '9'. y = 3 Simplifying y = 3
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