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Simplifying 7y + -1 = 2y + 6 + -2 Reorder the terms: -1 + 7y = 2y + 6 + -2 Reorder the terms: -1 + 7y = 6 + -2 + 2y Combine like terms: 6 + -2 = 4 -1 + 7y = 4 + 2y Solving -1 + 7y = 4 + 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 + 7y + -2y = 4 + 2y + -2y Combine like terms: 7y + -2y = 5y -1 + 5y = 4 + 2y + -2y Combine like terms: 2y + -2y = 0 -1 + 5y = 4 + 0 -1 + 5y = 4 Add '1' to each side of the equation. -1 + 1 + 5y = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 5y = 4 + 1 5y = 4 + 1 Combine like terms: 4 + 1 = 5 5y = 5 Divide each side by '5'. y = 1 Simplifying y = 1
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