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Simplifying 3(y + 3) = 9(y + -7) Reorder the terms: 3(3 + y) = 9(y + -7) (3 * 3 + y * 3) = 9(y + -7) (9 + 3y) = 9(y + -7) Reorder the terms: 9 + 3y = 9(-7 + y) 9 + 3y = (-7 * 9 + y * 9) 9 + 3y = (-63 + 9y) Solving 9 + 3y = -63 + 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. 9 + 3y + -9y = -63 + 9y + -9y Combine like terms: 3y + -9y = -6y 9 + -6y = -63 + 9y + -9y Combine like terms: 9y + -9y = 0 9 + -6y = -63 + 0 9 + -6y = -63 Add '-9' to each side of the equation. 9 + -9 + -6y = -63 + -9 Combine like terms: 9 + -9 = 0 0 + -6y = -63 + -9 -6y = -63 + -9 Combine like terms: -63 + -9 = -72 -6y = -72 Divide each side by '-6'. y = 12 Simplifying y = 12
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