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Simplifying 2y + 33 = 9(y + 6) Reorder the terms: 33 + 2y = 9(y + 6) Reorder the terms: 33 + 2y = 9(6 + y) 33 + 2y = (6 * 9 + y * 9) 33 + 2y = (54 + 9y) Solving 33 + 2y = 54 + 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 + 2y + -9y = 54 + 9y + -9y Combine like terms: 2y + -9y = -7y 33 + -7y = 54 + 9y + -9y Combine like terms: 9y + -9y = 0 33 + -7y = 54 + 0 33 + -7y = 54 Add '-33' to each side of the equation. 33 + -33 + -7y = 54 + -33 Combine like terms: 33 + -33 = 0 0 + -7y = 54 + -33 -7y = 54 + -33 Combine like terms: 54 + -33 = 21 -7y = 21 Divide each side by '-7'. y = -3 Simplifying y = -3
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