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Simplifying 7 + -8[2 + -1(5y + -3)] = 0 Reorder the terms: 7 + -8[2 + -1(-3 + 5y)] = 0 7 + -8[2 + (-3 * -1 + 5y * -1)] = 0 7 + -8[2 + (3 + -5y)] = 0 Combine like terms: 2 + 3 = 5 7 + -8[5 + -5y] = 0 7 + [5 * -8 + -5y * -8] = 0 7 + [-40 + 40y] = 0 Combine like terms: 7 + -40 = -33 -33 + 40y = 0 Solving -33 + 40y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 40y = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 40y = 0 + 33 40y = 0 + 33 Combine like terms: 0 + 33 = 33 40y = 33 Divide each side by '40'. y = 0.825 Simplifying y = 0.825
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