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Simplifying 7y + -1 + -1y = 7 + -2y Reorder the terms: -1 + 7y + -1y = 7 + -2y Combine like terms: 7y + -1y = 6y -1 + 6y = 7 + -2y Solving -1 + 6y = 7 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -1 + 6y + 2y = 7 + -2y + 2y Combine like terms: 6y + 2y = 8y -1 + 8y = 7 + -2y + 2y Combine like terms: -2y + 2y = 0 -1 + 8y = 7 + 0 -1 + 8y = 7 Add '1' to each side of the equation. -1 + 1 + 8y = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 8y = 7 + 1 8y = 7 + 1 Combine like terms: 7 + 1 = 8 8y = 8 Divide each side by '8'. y = 1 Simplifying y = 1
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