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Simplifying 7y + 1 = y + -5 Reorder the terms: 1 + 7y = y + -5 Reorder the terms: 1 + 7y = -5 + y Solving 1 + 7y = -5 + 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. 1 + 7y + -1y = -5 + y + -1y Combine like terms: 7y + -1y = 6y 1 + 6y = -5 + y + -1y Combine like terms: y + -1y = 0 1 + 6y = -5 + 0 1 + 6y = -5 Add '-1' to each side of the equation. 1 + -1 + 6y = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 6y = -5 + -1 6y = -5 + -1 Combine like terms: -5 + -1 = -6 6y = -6 Divide each side by '6'. y = -1 Simplifying y = -1
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