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Simplifying -1(4y + 3) + -1(-3y + -7) = 1 Reorder the terms: -1(3 + 4y) + -1(-3y + -7) = 1 (3 * -1 + 4y * -1) + -1(-3y + -7) = 1 (-3 + -4y) + -1(-3y + -7) = 1 Reorder the terms: -3 + -4y + -1(-7 + -3y) = 1 -3 + -4y + (-7 * -1 + -3y * -1) = 1 -3 + -4y + (7 + 3y) = 1 Reorder the terms: -3 + 7 + -4y + 3y = 1 Combine like terms: -3 + 7 = 4 4 + -4y + 3y = 1 Combine like terms: -4y + 3y = -1y 4 + -1y = 1 Solving 4 + -1y = 1 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 = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 1 + -4 -1y = 1 + -4 Combine like terms: 1 + -4 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3
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