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Simplifying 7 + -4[2 + -1(4y + -5)] = 0 Reorder the terms: 7 + -4[2 + -1(-5 + 4y)] = 0 7 + -4[2 + (-5 * -1 + 4y * -1)] = 0 7 + -4[2 + (5 + -4y)] = 0 Combine like terms: 2 + 5 = 7 7 + -4[7 + -4y] = 0 7 + [7 * -4 + -4y * -4] = 0 7 + [-28 + 16y] = 0 Combine like terms: 7 + -28 = -21 -21 + 16y = 0 Solving -21 + 16y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 16y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 16y = 0 + 21 16y = 0 + 21 Combine like terms: 0 + 21 = 21 16y = 21 Divide each side by '16'. y = 1.3125 Simplifying y = 1.3125
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