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Simplifying 18 + -3y + 11 = 7y + 6y + -27 + -9y Reorder the terms: 18 + 11 + -3y = 7y + 6y + -27 + -9y Combine like terms: 18 + 11 = 29 29 + -3y = 7y + 6y + -27 + -9y Reorder the terms: 29 + -3y = -27 + 7y + 6y + -9y Combine like terms: 7y + 6y = 13y 29 + -3y = -27 + 13y + -9y Combine like terms: 13y + -9y = 4y 29 + -3y = -27 + 4y Solving 29 + -3y = -27 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 29 + -3y + -4y = -27 + 4y + -4y Combine like terms: -3y + -4y = -7y 29 + -7y = -27 + 4y + -4y Combine like terms: 4y + -4y = 0 29 + -7y = -27 + 0 29 + -7y = -27 Add '-29' to each side of the equation. 29 + -29 + -7y = -27 + -29 Combine like terms: 29 + -29 = 0 0 + -7y = -27 + -29 -7y = -27 + -29 Combine like terms: -27 + -29 = -56 -7y = -56 Divide each side by '-7'. y = 8 Simplifying y = 8
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