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Simplifying -1(4y + 1) + -1(-3y + -4) = -5 Reorder the terms: -1(1 + 4y) + -1(-3y + -4) = -5 (1 * -1 + 4y * -1) + -1(-3y + -4) = -5 (-1 + -4y) + -1(-3y + -4) = -5 Reorder the terms: -1 + -4y + -1(-4 + -3y) = -5 -1 + -4y + (-4 * -1 + -3y * -1) = -5 -1 + -4y + (4 + 3y) = -5 Reorder the terms: -1 + 4 + -4y + 3y = -5 Combine like terms: -1 + 4 = 3 3 + -4y + 3y = -5 Combine like terms: -4y + 3y = -1y 3 + -1y = -5 Solving 3 + -1y = -5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = -5 + -3 -1y = -5 + -3 Combine like terms: -5 + -3 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8
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