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Simplifying -6y + 33 = -9(y + -5) Reorder the terms: 33 + -6y = -9(y + -5) Reorder the terms: 33 + -6y = -9(-5 + y) 33 + -6y = (-5 * -9 + y * -9) 33 + -6y = (45 + -9y) Solving 33 + -6y = 45 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 33 + -6y + 9y = 45 + -9y + 9y Combine like terms: -6y + 9y = 3y 33 + 3y = 45 + -9y + 9y Combine like terms: -9y + 9y = 0 33 + 3y = 45 + 0 33 + 3y = 45 Add '-33' to each side of the equation. 33 + -33 + 3y = 45 + -33 Combine like terms: 33 + -33 = 0 0 + 3y = 45 + -33 3y = 45 + -33 Combine like terms: 45 + -33 = 12 3y = 12 Divide each side by '3'. y = 4 Simplifying y = 4
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