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Simplifying 7y + -6 = 34 + -5y + 7y Reorder the terms: -6 + 7y = 34 + -5y + 7y Combine like terms: -5y + 7y = 2y -6 + 7y = 34 + 2y Solving -6 + 7y = 34 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -6 + 7y + -2y = 34 + 2y + -2y Combine like terms: 7y + -2y = 5y -6 + 5y = 34 + 2y + -2y Combine like terms: 2y + -2y = 0 -6 + 5y = 34 + 0 -6 + 5y = 34 Add '6' to each side of the equation. -6 + 6 + 5y = 34 + 6 Combine like terms: -6 + 6 = 0 0 + 5y = 34 + 6 5y = 34 + 6 Combine like terms: 34 + 6 = 40 5y = 40 Divide each side by '5'. y = 8 Simplifying y = 8
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