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Simplifying -6(y + 9) = -5y + -5 Reorder the terms: -6(9 + y) = -5y + -5 (9 * -6 + y * -6) = -5y + -5 (-54 + -6y) = -5y + -5 Reorder the terms: -54 + -6y = -5 + -5y Solving -54 + -6y = -5 + -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. -54 + -6y + 5y = -5 + -5y + 5y Combine like terms: -6y + 5y = -1y -54 + -1y = -5 + -5y + 5y Combine like terms: -5y + 5y = 0 -54 + -1y = -5 + 0 -54 + -1y = -5 Add '54' to each side of the equation. -54 + 54 + -1y = -5 + 54 Combine like terms: -54 + 54 = 0 0 + -1y = -5 + 54 -1y = -5 + 54 Combine like terms: -5 + 54 = 49 -1y = 49 Divide each side by '-1'. y = -49 Simplifying y = -49
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