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Simplifying 3y + 12 = 84 + -6y Reorder the terms: 12 + 3y = 84 + -6y Solving 12 + 3y = 84 + -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. 12 + 3y + 6y = 84 + -6y + 6y Combine like terms: 3y + 6y = 9y 12 + 9y = 84 + -6y + 6y Combine like terms: -6y + 6y = 0 12 + 9y = 84 + 0 12 + 9y = 84 Add '-12' to each side of the equation. 12 + -12 + 9y = 84 + -12 Combine like terms: 12 + -12 = 0 0 + 9y = 84 + -12 9y = 84 + -12 Combine like terms: 84 + -12 = 72 9y = 72 Divide each side by '9'. y = 8 Simplifying y = 8
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