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Simplifying 5y + 8 = 43 + -2y Reorder the terms: 8 + 5y = 43 + -2y Solving 8 + 5y = 43 + -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. 8 + 5y + 2y = 43 + -2y + 2y Combine like terms: 5y + 2y = 7y 8 + 7y = 43 + -2y + 2y Combine like terms: -2y + 2y = 0 8 + 7y = 43 + 0 8 + 7y = 43 Add '-8' to each side of the equation. 8 + -8 + 7y = 43 + -8 Combine like terms: 8 + -8 = 0 0 + 7y = 43 + -8 7y = 43 + -8 Combine like terms: 43 + -8 = 35 7y = 35 Divide each side by '7'. y = 5 Simplifying y = 5
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