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Simplifying -1(5y + -7) + -1(-4y + -5) = 6 Reorder the terms: -1(-7 + 5y) + -1(-4y + -5) = 6 (-7 * -1 + 5y * -1) + -1(-4y + -5) = 6 (7 + -5y) + -1(-4y + -5) = 6 Reorder the terms: 7 + -5y + -1(-5 + -4y) = 6 7 + -5y + (-5 * -1 + -4y * -1) = 6 7 + -5y + (5 + 4y) = 6 Reorder the terms: 7 + 5 + -5y + 4y = 6 Combine like terms: 7 + 5 = 12 12 + -5y + 4y = 6 Combine like terms: -5y + 4y = -1y 12 + -1y = 6 Solving 12 + -1y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1y = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = 6 + -12 -1y = 6 + -12 Combine like terms: 6 + -12 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6
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