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Simplifying 9y + -2(y + -6) = 3(2y + 4) Reorder the terms: 9y + -2(-6 + y) = 3(2y + 4) 9y + (-6 * -2 + y * -2) = 3(2y + 4) 9y + (12 + -2y) = 3(2y + 4) Reorder the terms: 12 + 9y + -2y = 3(2y + 4) Combine like terms: 9y + -2y = 7y 12 + 7y = 3(2y + 4) Reorder the terms: 12 + 7y = 3(4 + 2y) 12 + 7y = (4 * 3 + 2y * 3) 12 + 7y = (12 + 6y) Add '-12' to each side of the equation. 12 + -12 + 7y = 12 + -12 + 6y Combine like terms: 12 + -12 = 0 0 + 7y = 12 + -12 + 6y 7y = 12 + -12 + 6y Combine like terms: 12 + -12 = 0 7y = 0 + 6y 7y = 6y Solving 7y = 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. 7y + -6y = 6y + -6y Combine like terms: 7y + -6y = 1y 1y = 6y + -6y Combine like terms: 6y + -6y = 0 1y = 0 Divide each side by '1'. y = 0 Simplifying y = 0
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