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Simplifying 3y + 6 = 55 + -4y Reorder the terms: 6 + 3y = 55 + -4y Solving 6 + 3y = 55 + -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. 6 + 3y + 4y = 55 + -4y + 4y Combine like terms: 3y + 4y = 7y 6 + 7y = 55 + -4y + 4y Combine like terms: -4y + 4y = 0 6 + 7y = 55 + 0 6 + 7y = 55 Add '-6' to each side of the equation. 6 + -6 + 7y = 55 + -6 Combine like terms: 6 + -6 = 0 0 + 7y = 55 + -6 7y = 55 + -6 Combine like terms: 55 + -6 = 49 7y = 49 Divide each side by '7'. y = 7 Simplifying y = 7
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