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