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Simplifying -1(5y + 3) + -1(-4y + -7) = 2 Reorder the terms: -1(3 + 5y) + -1(-4y + -7) = 2 (3 * -1 + 5y * -1) + -1(-4y + -7) = 2 (-3 + -5y) + -1(-4y + -7) = 2 Reorder the terms: -3 + -5y + -1(-7 + -4y) = 2 -3 + -5y + (-7 * -1 + -4y * -1) = 2 -3 + -5y + (7 + 4y) = 2 Reorder the terms: -3 + 7 + -5y + 4y = 2 Combine like terms: -3 + 7 = 4 4 + -5y + 4y = 2 Combine like terms: -5y + 4y = -1y 4 + -1y = 2 Solving 4 + -1y = 2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 2 + -4 -1y = 2 + -4 Combine like terms: 2 + -4 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2
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