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Simplifying 8(7 + -1y) = 6(y + -9) + 2 (7 * 8 + -1y * 8) = 6(y + -9) + 2 (56 + -8y) = 6(y + -9) + 2 Reorder the terms: 56 + -8y = 6(-9 + y) + 2 56 + -8y = (-9 * 6 + y * 6) + 2 56 + -8y = (-54 + 6y) + 2 Reorder the terms: 56 + -8y = -54 + 2 + 6y Combine like terms: -54 + 2 = -52 56 + -8y = -52 + 6y Solving 56 + -8y = -52 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 56 + -8y + -6y = -52 + 6y + -6y Combine like terms: -8y + -6y = -14y 56 + -14y = -52 + 6y + -6y Combine like terms: 6y + -6y = 0 56 + -14y = -52 + 0 56 + -14y = -52 Add '-56' to each side of the equation. 56 + -56 + -14y = -52 + -56 Combine like terms: 56 + -56 = 0 0 + -14y = -52 + -56 -14y = -52 + -56 Combine like terms: -52 + -56 = -108 -14y = -108 Divide each side by '-14'. y = 7.714285714 Simplifying y = 7.714285714
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