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Simplifying 5y + 39 = -4(y + 6) Reorder the terms: 39 + 5y = -4(y + 6) Reorder the terms: 39 + 5y = -4(6 + y) 39 + 5y = (6 * -4 + y * -4) 39 + 5y = (-24 + -4y) Solving 39 + 5y = -24 + -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. 39 + 5y + 4y = -24 + -4y + 4y Combine like terms: 5y + 4y = 9y 39 + 9y = -24 + -4y + 4y Combine like terms: -4y + 4y = 0 39 + 9y = -24 + 0 39 + 9y = -24 Add '-39' to each side of the equation. 39 + -39 + 9y = -24 + -39 Combine like terms: 39 + -39 = 0 0 + 9y = -24 + -39 9y = -24 + -39 Combine like terms: -24 + -39 = -63 9y = -63 Divide each side by '9'. y = -7 Simplifying y = -7
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