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