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Simplifying -9(y + -3) = 6y + -33 Reorder the terms: -9(-3 + y) = 6y + -33 (-3 * -9 + y * -9) = 6y + -33 (27 + -9y) = 6y + -33 Reorder the terms: 27 + -9y = -33 + 6y Solving 27 + -9y = -33 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 27 + -9y + -6y = -33 + 6y + -6y Combine like terms: -9y + -6y = -15y 27 + -15y = -33 + 6y + -6y Combine like terms: 6y + -6y = 0 27 + -15y = -33 + 0 27 + -15y = -33 Add '-27' to each side of the equation. 27 + -27 + -15y = -33 + -27 Combine like terms: 27 + -27 = 0 0 + -15y = -33 + -27 -15y = -33 + -27 Combine like terms: -33 + -27 = -60 -15y = -60 Divide each side by '-15'. y = 4 Simplifying y = 4
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