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Simplifying 1 = 8 + -2(4y + 1) Reorder the terms: 1 = 8 + -2(1 + 4y) 1 = 8 + (1 * -2 + 4y * -2) 1 = 8 + (-2 + -8y) Combine like terms: 8 + -2 = 6 1 = 6 + -8y Solving 1 = 6 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 1 + 8y = 6 + -8y + 8y Combine like terms: -8y + 8y = 0 1 + 8y = 6 + 0 1 + 8y = 6 Add '-1' to each side of the equation. 1 + -1 + 8y = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 8y = 6 + -1 8y = 6 + -1 Combine like terms: 6 + -1 = 5 8y = 5 Divide each side by '8'. y = 0.625 Simplifying y = 0.625
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