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