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Simplifying -1(3y + -7) + -1(-5y + 1) = 7 Reorder the terms: -1(-7 + 3y) + -1(-5y + 1) = 7 (-7 * -1 + 3y * -1) + -1(-5y + 1) = 7 (7 + -3y) + -1(-5y + 1) = 7 Reorder the terms: 7 + -3y + -1(1 + -5y) = 7 7 + -3y + (1 * -1 + -5y * -1) = 7 7 + -3y + (-1 + 5y) = 7 Reorder the terms: 7 + -1 + -3y + 5y = 7 Combine like terms: 7 + -1 = 6 6 + -3y + 5y = 7 Combine like terms: -3y + 5y = 2y 6 + 2y = 7 Solving 6 + 2y = 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 + 2y = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 2y = 7 + -6 2y = 7 + -6 Combine like terms: 7 + -6 = 1 2y = 1 Divide each side by '2'. y = 0.5 Simplifying y = 0.5
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