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Simplifying 5 + -2[5 + -1(6y + -2)] = 0 Reorder the terms: 5 + -2[5 + -1(-2 + 6y)] = 0 5 + -2[5 + (-2 * -1 + 6y * -1)] = 0 5 + -2[5 + (2 + -6y)] = 0 Combine like terms: 5 + 2 = 7 5 + -2[7 + -6y] = 0 5 + [7 * -2 + -6y * -2] = 0 5 + [-14 + 12y] = 0 Combine like terms: 5 + -14 = -9 -9 + 12y = 0 Solving -9 + 12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 12y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 12y = 0 + 9 12y = 0 + 9 Combine like terms: 0 + 9 = 9 12y = 9 Divide each side by '12'. y = 0.75 Simplifying y = 0.75
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