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Simplifying 5 + -2[8 + -1(4y + -4)] = 0 Reorder the terms: 5 + -2[8 + -1(-4 + 4y)] = 0 5 + -2[8 + (-4 * -1 + 4y * -1)] = 0 5 + -2[8 + (4 + -4y)] = 0 Combine like terms: 8 + 4 = 12 5 + -2[12 + -4y] = 0 5 + [12 * -2 + -4y * -2] = 0 5 + [-24 + 8y] = 0 Combine like terms: 5 + -24 = -19 -19 + 8y = 0 Solving -19 + 8y = 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 + 8y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 8y = 0 + 19 8y = 0 + 19 Combine like terms: 0 + 19 = 19 8y = 19 Divide each side by '8'. y = 2.375 Simplifying y = 2.375
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