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