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Simplifying 5 + -5[3 + -1(2y + -4)] = 0 Reorder the terms: 5 + -5[3 + -1(-4 + 2y)] = 0 5 + -5[3 + (-4 * -1 + 2y * -1)] = 0 5 + -5[3 + (4 + -2y)] = 0 Combine like terms: 3 + 4 = 7 5 + -5[7 + -2y] = 0 5 + [7 * -5 + -2y * -5] = 0 5 + [-35 + 10y] = 0 Combine like terms: 5 + -35 = -30 -30 + 10y = 0 Solving -30 + 10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 10y = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 10y = 0 + 30 10y = 0 + 30 Combine like terms: 0 + 30 = 30 10y = 30 Divide each side by '10'. y = 3 Simplifying y = 3
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