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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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