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