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Simplifying 14 = 6(y + 7) + 8y Reorder the terms: 14 = 6(7 + y) + 8y 14 = (7 * 6 + y * 6) + 8y 14 = (42 + 6y) + 8y Combine like terms: 6y + 8y = 14y 14 = 42 + 14y Solving 14 = 42 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 14 + -14y = 42 + 14y + -14y Combine like terms: 14y + -14y = 0 14 + -14y = 42 + 0 14 + -14y = 42 Add '-14' to each side of the equation. 14 + -14 + -14y = 42 + -14 Combine like terms: 14 + -14 = 0 0 + -14y = 42 + -14 -14y = 42 + -14 Combine like terms: 42 + -14 = 28 -14y = 28 Divide each side by '-14'. y = -2 Simplifying y = -2
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