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Simplifying 3y + 31 = -4(y + 8) Reorder the terms: 31 + 3y = -4(y + 8) Reorder the terms: 31 + 3y = -4(8 + y) 31 + 3y = (8 * -4 + y * -4) 31 + 3y = (-32 + -4y) Solving 31 + 3y = -32 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 31 + 3y + 4y = -32 + -4y + 4y Combine like terms: 3y + 4y = 7y 31 + 7y = -32 + -4y + 4y Combine like terms: -4y + 4y = 0 31 + 7y = -32 + 0 31 + 7y = -32 Add '-31' to each side of the equation. 31 + -31 + 7y = -32 + -31 Combine like terms: 31 + -31 = 0 0 + 7y = -32 + -31 7y = -32 + -31 Combine like terms: -32 + -31 = -63 7y = -63 Divide each side by '7'. y = -9 Simplifying y = -9
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