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Simplifying 9(y + -5) = 3y + -9 Reorder the terms: 9(-5 + y) = 3y + -9 (-5 * 9 + y * 9) = 3y + -9 (-45 + 9y) = 3y + -9 Reorder the terms: -45 + 9y = -9 + 3y Solving -45 + 9y = -9 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -45 + 9y + -3y = -9 + 3y + -3y Combine like terms: 9y + -3y = 6y -45 + 6y = -9 + 3y + -3y Combine like terms: 3y + -3y = 0 -45 + 6y = -9 + 0 -45 + 6y = -9 Add '45' to each side of the equation. -45 + 45 + 6y = -9 + 45 Combine like terms: -45 + 45 = 0 0 + 6y = -9 + 45 6y = -9 + 45 Combine like terms: -9 + 45 = 36 6y = 36 Divide each side by '6'. y = 6 Simplifying y = 6
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