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Simplifying 6 + -5[3 + -1(2y + -2)] = 0 Reorder the terms: 6 + -5[3 + -1(-2 + 2y)] = 0 6 + -5[3 + (-2 * -1 + 2y * -1)] = 0 6 + -5[3 + (2 + -2y)] = 0 Combine like terms: 3 + 2 = 5 6 + -5[5 + -2y] = 0 6 + [5 * -5 + -2y * -5] = 0 6 + [-25 + 10y] = 0 Combine like terms: 6 + -25 = -19 -19 + 10y = 0 Solving -19 + 10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 10y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 10y = 0 + 19 10y = 0 + 19 Combine like terms: 0 + 19 = 19 10y = 19 Divide each side by '10'. y = 1.9 Simplifying y = 1.9
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