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Simplifying -1(y + 3) + 4(y + 5) = -4 Reorder the terms: -1(3 + y) + 4(y + 5) = -4 (3 * -1 + y * -1) + 4(y + 5) = -4 (-3 + -1y) + 4(y + 5) = -4 Reorder the terms: -3 + -1y + 4(5 + y) = -4 -3 + -1y + (5 * 4 + y * 4) = -4 -3 + -1y + (20 + 4y) = -4 Reorder the terms: -3 + 20 + -1y + 4y = -4 Combine like terms: -3 + 20 = 17 17 + -1y + 4y = -4 Combine like terms: -1y + 4y = 3y 17 + 3y = -4 Solving 17 + 3y = -4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 3y = -4 + -17 Combine like terms: 17 + -17 = 0 0 + 3y = -4 + -17 3y = -4 + -17 Combine like terms: -4 + -17 = -21 3y = -21 Divide each side by '3'. y = -7 Simplifying y = -7
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