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Simplifying 4 + -2[5 + -1(4y + -3)] = 0 Reorder the terms: 4 + -2[5 + -1(-3 + 4y)] = 0 4 + -2[5 + (-3 * -1 + 4y * -1)] = 0 4 + -2[5 + (3 + -4y)] = 0 Combine like terms: 5 + 3 = 8 4 + -2[8 + -4y] = 0 4 + [8 * -2 + -4y * -2] = 0 4 + [-16 + 8y] = 0 Combine like terms: 4 + -16 = -12 -12 + 8y = 0 Solving -12 + 8y = 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 + 8y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 8y = 0 + 12 8y = 0 + 12 Combine like terms: 0 + 12 = 12 8y = 12 Divide each side by '8'. y = 1.5 Simplifying y = 1.5
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