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Simplifying 31 = 4(y + 4) + -7y Reorder the terms: 31 = 4(4 + y) + -7y 31 = (4 * 4 + y * 4) + -7y 31 = (16 + 4y) + -7y Combine like terms: 4y + -7y = -3y 31 = 16 + -3y Solving 31 = 16 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 31 + 3y = 16 + -3y + 3y Combine like terms: -3y + 3y = 0 31 + 3y = 16 + 0 31 + 3y = 16 Add '-31' to each side of the equation. 31 + -31 + 3y = 16 + -31 Combine like terms: 31 + -31 = 0 0 + 3y = 16 + -31 3y = 16 + -31 Combine like terms: 16 + -31 = -15 3y = -15 Divide each side by '3'. y = -5 Simplifying y = -5
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