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Simplifying 7(6y + -8) = 14y Reorder the terms: 7(-8 + 6y) = 14y (-8 * 7 + 6y * 7) = 14y (-56 + 42y) = 14y Solving -56 + 42y = 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. -56 + 42y + -14y = 14y + -14y Combine like terms: 42y + -14y = 28y -56 + 28y = 14y + -14y Combine like terms: 14y + -14y = 0 -56 + 28y = 0 Add '56' to each side of the equation. -56 + 56 + 28y = 0 + 56 Combine like terms: -56 + 56 = 0 0 + 28y = 0 + 56 28y = 0 + 56 Combine like terms: 0 + 56 = 56 28y = 56 Divide each side by '28'. y = 2 Simplifying y = 2
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