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Simplifying -1(7y + 1) + -1(-6y + -6) = 1 Reorder the terms: -1(1 + 7y) + -1(-6y + -6) = 1 (1 * -1 + 7y * -1) + -1(-6y + -6) = 1 (-1 + -7y) + -1(-6y + -6) = 1 Reorder the terms: -1 + -7y + -1(-6 + -6y) = 1 -1 + -7y + (-6 * -1 + -6y * -1) = 1 -1 + -7y + (6 + 6y) = 1 Reorder the terms: -1 + 6 + -7y + 6y = 1 Combine like terms: -1 + 6 = 5 5 + -7y + 6y = 1 Combine like terms: -7y + 6y = -1y 5 + -1y = 1 Solving 5 + -1y = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 1 + -5 -1y = 1 + -5 Combine like terms: 1 + -5 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4
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