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Simplifying -4(y + 5) = 9 + -3y Reorder the terms: -4(5 + y) = 9 + -3y (5 * -4 + y * -4) = 9 + -3y (-20 + -4y) = 9 + -3y Solving -20 + -4y = 9 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -20 + -4y + 3y = 9 + -3y + 3y Combine like terms: -4y + 3y = -1y -20 + -1y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 -20 + -1y = 9 + 0 -20 + -1y = 9 Add '20' to each side of the equation. -20 + 20 + -1y = 9 + 20 Combine like terms: -20 + 20 = 0 0 + -1y = 9 + 20 -1y = 9 + 20 Combine like terms: 9 + 20 = 29 -1y = 29 Divide each side by '-1'. y = -29 Simplifying y = -29
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