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Simplifying 38 + 5y + -7 = 16y + -9 + -3y Reorder the terms: 38 + -7 + 5y = 16y + -9 + -3y Combine like terms: 38 + -7 = 31 31 + 5y = 16y + -9 + -3y Reorder the terms: 31 + 5y = -9 + 16y + -3y Combine like terms: 16y + -3y = 13y 31 + 5y = -9 + 13y Solving 31 + 5y = -9 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 31 + 5y + -13y = -9 + 13y + -13y Combine like terms: 5y + -13y = -8y 31 + -8y = -9 + 13y + -13y Combine like terms: 13y + -13y = 0 31 + -8y = -9 + 0 31 + -8y = -9 Add '-31' to each side of the equation. 31 + -31 + -8y = -9 + -31 Combine like terms: 31 + -31 = 0 0 + -8y = -9 + -31 -8y = -9 + -31 Combine like terms: -9 + -31 = -40 -8y = -40 Divide each side by '-8'. y = 5 Simplifying y = 5
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