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Simplifying 27 + 2y + -9 = 9y + -12 + -2y Reorder the terms: 27 + -9 + 2y = 9y + -12 + -2y Combine like terms: 27 + -9 = 18 18 + 2y = 9y + -12 + -2y Reorder the terms: 18 + 2y = -12 + 9y + -2y Combine like terms: 9y + -2y = 7y 18 + 2y = -12 + 7y Solving 18 + 2y = -12 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 18 + 2y + -7y = -12 + 7y + -7y Combine like terms: 2y + -7y = -5y 18 + -5y = -12 + 7y + -7y Combine like terms: 7y + -7y = 0 18 + -5y = -12 + 0 18 + -5y = -12 Add '-18' to each side of the equation. 18 + -18 + -5y = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -5y = -12 + -18 -5y = -12 + -18 Combine like terms: -12 + -18 = -30 -5y = -30 Divide each side by '-5'. y = 6 Simplifying y = 6
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