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Simplifying 2[6(y + -4) + 7] = 0 Reorder the terms: 2[6(-4 + y) + 7] = 0 2[(-4 * 6 + y * 6) + 7] = 0 2[(-24 + 6y) + 7] = 0 Reorder the terms: 2[-24 + 7 + 6y] = 0 Combine like terms: -24 + 7 = -17 2[-17 + 6y] = 0 [-17 * 2 + 6y * 2] = 0 [-34 + 12y] = 0 Solving -34 + 12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 12y = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 12y = 0 + 34 12y = 0 + 34 Combine like terms: 0 + 34 = 34 12y = 34 Divide each side by '12'. y = 2.833333333 Simplifying y = 2.833333333
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