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Simplifying -6y + 1 = y + 8 Reorder the terms: 1 + -6y = y + 8 Reorder the terms: 1 + -6y = 8 + y Solving 1 + -6y = 8 + 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 + -6y + -1y = 8 + y + -1y Combine like terms: -6y + -1y = -7y 1 + -7y = 8 + y + -1y Combine like terms: y + -1y = 0 1 + -7y = 8 + 0 1 + -7y = 8 Add '-1' to each side of the equation. 1 + -1 + -7y = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -7y = 8 + -1 -7y = 8 + -1 Combine like terms: 8 + -1 = 7 -7y = 7 Divide each side by '-7'. y = -1 Simplifying y = -1
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