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Simplifying 8 + -5[7 + -1(7y + -8)] = 0 Reorder the terms: 8 + -5[7 + -1(-8 + 7y)] = 0 8 + -5[7 + (-8 * -1 + 7y * -1)] = 0 8 + -5[7 + (8 + -7y)] = 0 Combine like terms: 7 + 8 = 15 8 + -5[15 + -7y] = 0 8 + [15 * -5 + -7y * -5] = 0 8 + [-75 + 35y] = 0 Combine like terms: 8 + -75 = -67 -67 + 35y = 0 Solving -67 + 35y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '67' to each side of the equation. -67 + 67 + 35y = 0 + 67 Combine like terms: -67 + 67 = 0 0 + 35y = 0 + 67 35y = 0 + 67 Combine like terms: 0 + 67 = 67 35y = 67 Divide each side by '35'. y = 1.914285714 Simplifying y = 1.914285714
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