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Simplifying 2 + -2[4 + -1(5y + -3)] = 0 Reorder the terms: 2 + -2[4 + -1(-3 + 5y)] = 0 2 + -2[4 + (-3 * -1 + 5y * -1)] = 0 2 + -2[4 + (3 + -5y)] = 0 Combine like terms: 4 + 3 = 7 2 + -2[7 + -5y] = 0 2 + [7 * -2 + -5y * -2] = 0 2 + [-14 + 10y] = 0 Combine like terms: 2 + -14 = -12 -12 + 10y = 0 Solving -12 + 10y = 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 + 10y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 10y = 0 + 12 10y = 0 + 12 Combine like terms: 0 + 12 = 12 10y = 12 Divide each side by '10'. y = 1.2 Simplifying y = 1.2
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