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Simplifying 3(y + 7) = 9y + -21 Reorder the terms: 3(7 + y) = 9y + -21 (7 * 3 + y * 3) = 9y + -21 (21 + 3y) = 9y + -21 Reorder the terms: 21 + 3y = -21 + 9y Solving 21 + 3y = -21 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 21 + 3y + -9y = -21 + 9y + -9y Combine like terms: 3y + -9y = -6y 21 + -6y = -21 + 9y + -9y Combine like terms: 9y + -9y = 0 21 + -6y = -21 + 0 21 + -6y = -21 Add '-21' to each side of the equation. 21 + -21 + -6y = -21 + -21 Combine like terms: 21 + -21 = 0 0 + -6y = -21 + -21 -6y = -21 + -21 Combine like terms: -21 + -21 = -42 -6y = -42 Divide each side by '-6'. y = 7 Simplifying y = 7
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