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Simplifying 9(y + -1) = 4y + 21 Reorder the terms: 9(-1 + y) = 4y + 21 (-1 * 9 + y * 9) = 4y + 21 (-9 + 9y) = 4y + 21 Reorder the terms: -9 + 9y = 21 + 4y Solving -9 + 9y = 21 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -9 + 9y + -4y = 21 + 4y + -4y Combine like terms: 9y + -4y = 5y -9 + 5y = 21 + 4y + -4y Combine like terms: 4y + -4y = 0 -9 + 5y = 21 + 0 -9 + 5y = 21 Add '9' to each side of the equation. -9 + 9 + 5y = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 5y = 21 + 9 5y = 21 + 9 Combine like terms: 21 + 9 = 30 5y = 30 Divide each side by '5'. y = 6 Simplifying y = 6
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