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Simplifying -5(y + 9) = -6y Reorder the terms: -5(9 + y) = -6y (9 * -5 + y * -5) = -6y (-45 + -5y) = -6y Solving -45 + -5y = -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. -45 + -5y + 6y = -6y + 6y Combine like terms: -5y + 6y = 1y -45 + 1y = -6y + 6y Combine like terms: -6y + 6y = 0 -45 + 1y = 0 Add '45' to each side of the equation. -45 + 45 + 1y = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 1y = 0 + 45 1y = 0 + 45 Combine like terms: 0 + 45 = 45 1y = 45 Divide each side by '1'. y = 45 Simplifying y = 45
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