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Simplifying -1(4y + 5) + -1(-3y + -7) = -4 Reorder the terms: -1(5 + 4y) + -1(-3y + -7) = -4 (5 * -1 + 4y * -1) + -1(-3y + -7) = -4 (-5 + -4y) + -1(-3y + -7) = -4 Reorder the terms: -5 + -4y + -1(-7 + -3y) = -4 -5 + -4y + (-7 * -1 + -3y * -1) = -4 -5 + -4y + (7 + 3y) = -4 Reorder the terms: -5 + 7 + -4y + 3y = -4 Combine like terms: -5 + 7 = 2 2 + -4y + 3y = -4 Combine like terms: -4y + 3y = -1y 2 + -1y = -4 Solving 2 + -1y = -4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = -4 + -2 -1y = -4 + -2 Combine like terms: -4 + -2 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6
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