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Simplifying 9(y + -5) = 5y + -21 Reorder the terms: 9(-5 + y) = 5y + -21 (-5 * 9 + y * 9) = 5y + -21 (-45 + 9y) = 5y + -21 Reorder the terms: -45 + 9y = -21 + 5y Solving -45 + 9y = -21 + 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. -45 + 9y + -5y = -21 + 5y + -5y Combine like terms: 9y + -5y = 4y -45 + 4y = -21 + 5y + -5y Combine like terms: 5y + -5y = 0 -45 + 4y = -21 + 0 -45 + 4y = -21 Add '45' to each side of the equation. -45 + 45 + 4y = -21 + 45 Combine like terms: -45 + 45 = 0 0 + 4y = -21 + 45 4y = -21 + 45 Combine like terms: -21 + 45 = 24 4y = 24 Divide each side by '4'. y = 6 Simplifying y = 6
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