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Simplifying 8y + 2 + 47 + -2 = 3y + 8 Reorder the terms: 2 + 47 + -2 + 8y = 3y + 8 Combine like terms: 2 + 47 = 49 49 + -2 + 8y = 3y + 8 Combine like terms: 49 + -2 = 47 47 + 8y = 3y + 8 Reorder the terms: 47 + 8y = 8 + 3y Solving 47 + 8y = 8 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 47 + 8y + -3y = 8 + 3y + -3y Combine like terms: 8y + -3y = 5y 47 + 5y = 8 + 3y + -3y Combine like terms: 3y + -3y = 0 47 + 5y = 8 + 0 47 + 5y = 8 Add '-47' to each side of the equation. 47 + -47 + 5y = 8 + -47 Combine like terms: 47 + -47 = 0 0 + 5y = 8 + -47 5y = 8 + -47 Combine like terms: 8 + -47 = -39 5y = -39 Divide each side by '5'. y = -7.8 Simplifying y = -7.8
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