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Simplifying 6y + -5(y + -1) + 1 = 7 Reorder the terms: 6y + -5(-1 + y) + 1 = 7 6y + (-1 * -5 + y * -5) + 1 = 7 6y + (5 + -5y) + 1 = 7 Reorder the terms: 5 + 1 + 6y + -5y = 7 Combine like terms: 5 + 1 = 6 6 + 6y + -5y = 7 Combine like terms: 6y + -5y = 1y 6 + 1y = 7 Solving 6 + 1y = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 1y = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 1y = 7 + -6 1y = 7 + -6 Combine like terms: 7 + -6 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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