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Simplifying 3y + -39 = -4(y + 8) Reorder the terms: -39 + 3y = -4(y + 8) Reorder the terms: -39 + 3y = -4(8 + y) -39 + 3y = (8 * -4 + y * -4) -39 + 3y = (-32 + -4y) Solving -39 + 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. -39 + 3y + 4y = -32 + -4y + 4y Combine like terms: 3y + 4y = 7y -39 + 7y = -32 + -4y + 4y Combine like terms: -4y + 4y = 0 -39 + 7y = -32 + 0 -39 + 7y = -32 Add '39' to each side of the equation. -39 + 39 + 7y = -32 + 39 Combine like terms: -39 + 39 = 0 0 + 7y = -32 + 39 7y = -32 + 39 Combine like terms: -32 + 39 = 7 7y = 7 Divide each side by '7'. y = 1 Simplifying y = 1
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