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Simplifying 2 + -2[5 + -1(3y + -2)] = 0 Reorder the terms: 2 + -2[5 + -1(-2 + 3y)] = 0 2 + -2[5 + (-2 * -1 + 3y * -1)] = 0 2 + -2[5 + (2 + -3y)] = 0 Combine like terms: 5 + 2 = 7 2 + -2[7 + -3y] = 0 2 + [7 * -2 + -3y * -2] = 0 2 + [-14 + 6y] = 0 Combine like terms: 2 + -14 = -12 -12 + 6y = 0 Solving -12 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 6y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6y = 0 + 12 6y = 0 + 12 Combine like terms: 0 + 12 = 12 6y = 12 Divide each side by '6'. y = 2 Simplifying y = 2
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