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Simplifying 6y + 7(y + -8) = 22 Reorder the terms: 6y + 7(-8 + y) = 22 6y + (-8 * 7 + y * 7) = 22 6y + (-56 + 7y) = 22 Reorder the terms: -56 + 6y + 7y = 22 Combine like terms: 6y + 7y = 13y -56 + 13y = 22 Solving -56 + 13y = 22 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 13y = 22 + 56 Combine like terms: -56 + 56 = 0 0 + 13y = 22 + 56 13y = 22 + 56 Combine like terms: 22 + 56 = 78 13y = 78 Divide each side by '13'. y = 6 Simplifying y = 6
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