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Simplifying -1(4y + 1) + -1(-3y + -7) = 6 Reorder the terms: -1(1 + 4y) + -1(-3y + -7) = 6 (1 * -1 + 4y * -1) + -1(-3y + -7) = 6 (-1 + -4y) + -1(-3y + -7) = 6 Reorder the terms: -1 + -4y + -1(-7 + -3y) = 6 -1 + -4y + (-7 * -1 + -3y * -1) = 6 -1 + -4y + (7 + 3y) = 6 Reorder the terms: -1 + 7 + -4y + 3y = 6 Combine like terms: -1 + 7 = 6 6 + -4y + 3y = 6 Combine like terms: -4y + 3y = -1y 6 + -1y = 6 Add '-6' to each side of the equation. 6 + -6 + -1y = 6 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 6 + -6 -1y = 6 + -6 Combine like terms: 6 + -6 = 0 -1y = 0 Solving -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '-1'. y = 0 Simplifying y = 0
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