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