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Simplifying 3(y + 3) = 6y + -12 Reorder the terms: 3(3 + y) = 6y + -12 (3 * 3 + y * 3) = 6y + -12 (9 + 3y) = 6y + -12 Reorder the terms: 9 + 3y = -12 + 6y Solving 9 + 3y = -12 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 9 + 3y + -6y = -12 + 6y + -6y Combine like terms: 3y + -6y = -3y 9 + -3y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 9 + -3y = -12 + 0 9 + -3y = -12 Add '-9' to each side of the equation. 9 + -9 + -3y = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -3y = -12 + -9 -3y = -12 + -9 Combine like terms: -12 + -9 = -21 -3y = -21 Divide each side by '-3'. y = 7 Simplifying y = 7
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