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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 = 56 56 + -8y = 56 + 6y Add '-56' to each side of the equation. 56 + -56 + -8y = 56 + -56 + 6y Combine like terms: 56 + -56 = 0 0 + -8y = 56 + -56 + 6y -8y = 56 + -56 + 6y Combine like terms: 56 + -56 = 0 -8y = 0 + 6y -8y = 6y Solving -8y = 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. -8y + -6y = 6y + -6y Combine like terms: -8y + -6y = -14y -14y = 6y + -6y Combine like terms: 6y + -6y = 0 -14y = 0 Divide each side by '-14'. y = 0 Simplifying y = 0
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