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Simplifying -6(y + 5) = -9y + -39 Reorder the terms: -6(5 + y) = -9y + -39 (5 * -6 + y * -6) = -9y + -39 (-30 + -6y) = -9y + -39 Reorder the terms: -30 + -6y = -39 + -9y Solving -30 + -6y = -39 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -30 + -6y + 9y = -39 + -9y + 9y Combine like terms: -6y + 9y = 3y -30 + 3y = -39 + -9y + 9y Combine like terms: -9y + 9y = 0 -30 + 3y = -39 + 0 -30 + 3y = -39 Add '30' to each side of the equation. -30 + 30 + 3y = -39 + 30 Combine like terms: -30 + 30 = 0 0 + 3y = -39 + 30 3y = -39 + 30 Combine like terms: -39 + 30 = -9 3y = -9 Divide each side by '3'. y = -3 Simplifying y = -3
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