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Simplifying -1(7y + 5) + -1(-6y + -7) = 1 Reorder the terms: -1(5 + 7y) + -1(-6y + -7) = 1 (5 * -1 + 7y * -1) + -1(-6y + -7) = 1 (-5 + -7y) + -1(-6y + -7) = 1 Reorder the terms: -5 + -7y + -1(-7 + -6y) = 1 -5 + -7y + (-7 * -1 + -6y * -1) = 1 -5 + -7y + (7 + 6y) = 1 Reorder the terms: -5 + 7 + -7y + 6y = 1 Combine like terms: -5 + 7 = 2 2 + -7y + 6y = 1 Combine like terms: -7y + 6y = -1y 2 + -1y = 1 Solving 2 + -1y = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 1 + -2 -1y = 1 + -2 Combine like terms: 1 + -2 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1
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