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Simplifying -1(5y + 2) + -1(-4y + -6) = 2 Reorder the terms: -1(2 + 5y) + -1(-4y + -6) = 2 (2 * -1 + 5y * -1) + -1(-4y + -6) = 2 (-2 + -5y) + -1(-4y + -6) = 2 Reorder the terms: -2 + -5y + -1(-6 + -4y) = 2 -2 + -5y + (-6 * -1 + -4y * -1) = 2 -2 + -5y + (6 + 4y) = 2 Reorder the terms: -2 + 6 + -5y + 4y = 2 Combine like terms: -2 + 6 = 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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