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Simplifying -4(y + -9) = 5 + -3y Reorder the terms: -4(-9 + y) = 5 + -3y (-9 * -4 + y * -4) = 5 + -3y (36 + -4y) = 5 + -3y Solving 36 + -4y = 5 + -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. 36 + -4y + 3y = 5 + -3y + 3y Combine like terms: -4y + 3y = -1y 36 + -1y = 5 + -3y + 3y Combine like terms: -3y + 3y = 0 36 + -1y = 5 + 0 36 + -1y = 5 Add '-36' to each side of the equation. 36 + -36 + -1y = 5 + -36 Combine like terms: 36 + -36 = 0 0 + -1y = 5 + -36 -1y = 5 + -36 Combine like terms: 5 + -36 = -31 -1y = -31 Divide each side by '-1'. y = 31 Simplifying y = 31
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