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Simplifying 6y + -8 + 1 = y + 38 Reorder the terms: -8 + 1 + 6y = y + 38 Combine like terms: -8 + 1 = -7 -7 + 6y = y + 38 Reorder the terms: -7 + 6y = 38 + y Solving -7 + 6y = 38 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -7 + 6y + -1y = 38 + y + -1y Combine like terms: 6y + -1y = 5y -7 + 5y = 38 + y + -1y Combine like terms: y + -1y = 0 -7 + 5y = 38 + 0 -7 + 5y = 38 Add '7' to each side of the equation. -7 + 7 + 5y = 38 + 7 Combine like terms: -7 + 7 = 0 0 + 5y = 38 + 7 5y = 38 + 7 Combine like terms: 38 + 7 = 45 5y = 45 Divide each side by '5'. y = 9 Simplifying y = 9
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