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Simplifying 3y + -39 = -5(y + 3) Reorder the terms: -39 + 3y = -5(y + 3) Reorder the terms: -39 + 3y = -5(3 + y) -39 + 3y = (3 * -5 + y * -5) -39 + 3y = (-15 + -5y) Solving -39 + 3y = -15 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -39 + 3y + 5y = -15 + -5y + 5y Combine like terms: 3y + 5y = 8y -39 + 8y = -15 + -5y + 5y Combine like terms: -5y + 5y = 0 -39 + 8y = -15 + 0 -39 + 8y = -15 Add '39' to each side of the equation. -39 + 39 + 8y = -15 + 39 Combine like terms: -39 + 39 = 0 0 + 8y = -15 + 39 8y = -15 + 39 Combine like terms: -15 + 39 = 24 8y = 24 Divide each side by '8'. y = 3 Simplifying y = 3
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