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Simplifying 8(4y + 1) + -4y = 1 Reorder the terms: 8(1 + 4y) + -4y = 1 (1 * 8 + 4y * 8) + -4y = 1 (8 + 32y) + -4y = 1 Combine like terms: 32y + -4y = 28y 8 + 28y = 1 Solving 8 + 28y = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 28y = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 28y = 1 + -8 28y = 1 + -8 Combine like terms: 1 + -8 = -7 28y = -7 Divide each side by '28'. y = -0.25 Simplifying y = -0.25
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