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Simplifying 6 = 2 + -8(1 + -1y) 6 = 2 + (1 * -8 + -1y * -8) 6 = 2 + (-8 + 8y) Combine like terms: 2 + -8 = -6 6 = -6 + 8y Solving 6 = -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. 6 + -8y = -6 + 8y + -8y Combine like terms: 8y + -8y = 0 6 + -8y = -6 + 0 6 + -8y = -6 Add '-6' to each side of the equation. 6 + -6 + -8y = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -8y = -6 + -6 -8y = -6 + -6 Combine like terms: -6 + -6 = -12 -8y = -12 Divide each side by '-8'. y = 1.5 Simplifying y = 1.5
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