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Simplifying -1(3y + 1) + -1(-2 + -7) = 5 Reorder the terms: -1(1 + 3y) + -1(-2 + -7) = 5 (1 * -1 + 3y * -1) + -1(-2 + -7) = 5 (-1 + -3y) + -1(-2 + -7) = 5 Combine like terms: -2 + -7 = -9 -1 + -3y + -1(-9) = 5 Multiply -1 * -9 -1 + -3y + 9 = 5 Reorder the terms: -1 + 9 + -3y = 5 Combine like terms: -1 + 9 = 8 8 + -3y = 5 Solving 8 + -3y = 5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3y = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -3y = 5 + -8 -3y = 5 + -8 Combine like terms: 5 + -8 = -3 -3y = -3 Divide each side by '-3'. y = 1 Simplifying y = 1
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