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Simplifying 4y + 39 = -3(y + 8) Reorder the terms: 39 + 4y = -3(y + 8) Reorder the terms: 39 + 4y = -3(8 + y) 39 + 4y = (8 * -3 + y * -3) 39 + 4y = (-24 + -3y) Solving 39 + 4y = -24 + -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. 39 + 4y + 3y = -24 + -3y + 3y Combine like terms: 4y + 3y = 7y 39 + 7y = -24 + -3y + 3y Combine like terms: -3y + 3y = 0 39 + 7y = -24 + 0 39 + 7y = -24 Add '-39' to each side of the equation. 39 + -39 + 7y = -24 + -39 Combine like terms: 39 + -39 = 0 0 + 7y = -24 + -39 7y = -24 + -39 Combine like terms: -24 + -39 = -63 7y = -63 Divide each side by '7'. y = -9 Simplifying y = -9
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