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Simplifying 3y + 21 = 9(y + 3) Reorder the terms: 21 + 3y = 9(y + 3) Reorder the terms: 21 + 3y = 9(3 + y) 21 + 3y = (3 * 9 + y * 9) 21 + 3y = (27 + 9y) Solving 21 + 3y = 27 + 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 = 27 + 9y + -9y Combine like terms: 3y + -9y = -6y 21 + -6y = 27 + 9y + -9y Combine like terms: 9y + -9y = 0 21 + -6y = 27 + 0 21 + -6y = 27 Add '-21' to each side of the equation. 21 + -21 + -6y = 27 + -21 Combine like terms: 21 + -21 = 0 0 + -6y = 27 + -21 -6y = 27 + -21 Combine like terms: 27 + -21 = 6 -6y = 6 Divide each side by '-6'. y = -1 Simplifying y = -1
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