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Simplifying 3 + -5[6 + -1(8y + -4)] = 0 Reorder the terms: 3 + -5[6 + -1(-4 + 8y)] = 0 3 + -5[6 + (-4 * -1 + 8y * -1)] = 0 3 + -5[6 + (4 + -8y)] = 0 Combine like terms: 6 + 4 = 10 3 + -5[10 + -8y] = 0 3 + [10 * -5 + -8y * -5] = 0 3 + [-50 + 40y] = 0 Combine like terms: 3 + -50 = -47 -47 + 40y = 0 Solving -47 + 40y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 40y = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 40y = 0 + 47 40y = 0 + 47 Combine like terms: 0 + 47 = 47 40y = 47 Divide each side by '40'. y = 1.175 Simplifying y = 1.175
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