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Simplifying 5(2y + -7) + 8(7 + 6) = 31 Reorder the terms: 5(-7 + 2y) + 8(7 + 6) = 31 (-7 * 5 + 2y * 5) + 8(7 + 6) = 31 (-35 + 10y) + 8(7 + 6) = 31 Combine like terms: 7 + 6 = 13 -35 + 10y + 8(13) = 31 Multiply 8 * 13 -35 + 10y + 104 = 31 Reorder the terms: -35 + 104 + 10y = 31 Combine like terms: -35 + 104 = 69 69 + 10y = 31 Solving 69 + 10y = 31 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + 10y = 31 + -69 Combine like terms: 69 + -69 = 0 0 + 10y = 31 + -69 10y = 31 + -69 Combine like terms: 31 + -69 = -38 10y = -38 Divide each side by '10'. y = -3.8 Simplifying y = -3.8
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