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Simplifying 4y + 3(y + -8) = -31 Reorder the terms: 4y + 3(-8 + y) = -31 4y + (-8 * 3 + y * 3) = -31 4y + (-24 + 3y) = -31 Reorder the terms: -24 + 4y + 3y = -31 Combine like terms: 4y + 3y = 7y -24 + 7y = -31 Solving -24 + 7y = -31 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 7y = -31 + 24 Combine like terms: -24 + 24 = 0 0 + 7y = -31 + 24 7y = -31 + 24 Combine like terms: -31 + 24 = -7 7y = -7 Divide each side by '7'. y = -1 Simplifying y = -1
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