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Simplifying -9y + -39 = -6(y + 9) Reorder the terms: -39 + -9y = -6(y + 9) Reorder the terms: -39 + -9y = -6(9 + y) -39 + -9y = (9 * -6 + y * -6) -39 + -9y = (-54 + -6y) Solving -39 + -9y = -54 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -39 + -9y + 6y = -54 + -6y + 6y Combine like terms: -9y + 6y = -3y -39 + -3y = -54 + -6y + 6y Combine like terms: -6y + 6y = 0 -39 + -3y = -54 + 0 -39 + -3y = -54 Add '39' to each side of the equation. -39 + 39 + -3y = -54 + 39 Combine like terms: -39 + 39 = 0 0 + -3y = -54 + 39 -3y = -54 + 39 Combine like terms: -54 + 39 = -15 -3y = -15 Divide each side by '-3'. y = 5 Simplifying y = 5
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