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Simplifying -1(7y + 3) + -1(-6y + -5) = 1 Reorder the terms: -1(3 + 7y) + -1(-6y + -5) = 1 (3 * -1 + 7y * -1) + -1(-6y + -5) = 1 (-3 + -7y) + -1(-6y + -5) = 1 Reorder the terms: -3 + -7y + -1(-5 + -6y) = 1 -3 + -7y + (-5 * -1 + -6y * -1) = 1 -3 + -7y + (5 + 6y) = 1 Reorder the terms: -3 + 5 + -7y + 6y = 1 Combine like terms: -3 + 5 = 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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