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Simplifying 2y + 7 = 55 + -6y Reorder the terms: 7 + 2y = 55 + -6y Solving 7 + 2y = 55 + -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. 7 + 2y + 6y = 55 + -6y + 6y Combine like terms: 2y + 6y = 8y 7 + 8y = 55 + -6y + 6y Combine like terms: -6y + 6y = 0 7 + 8y = 55 + 0 7 + 8y = 55 Add '-7' to each side of the equation. 7 + -7 + 8y = 55 + -7 Combine like terms: 7 + -7 = 0 0 + 8y = 55 + -7 8y = 55 + -7 Combine like terms: 55 + -7 = 48 8y = 48 Divide each side by '8'. y = 6 Simplifying y = 6
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