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Simplifying 6y + 12 = 9y + 33 Reorder the terms: 12 + 6y = 9y + 33 Reorder the terms: 12 + 6y = 33 + 9y Solving 12 + 6y = 33 + 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. 12 + 6y + -9y = 33 + 9y + -9y Combine like terms: 6y + -9y = -3y 12 + -3y = 33 + 9y + -9y Combine like terms: 9y + -9y = 0 12 + -3y = 33 + 0 12 + -3y = 33 Add '-12' to each side of the equation. 12 + -12 + -3y = 33 + -12 Combine like terms: 12 + -12 = 0 0 + -3y = 33 + -12 -3y = 33 + -12 Combine like terms: 33 + -12 = 21 -3y = 21 Divide each side by '-3'. y = -7 Simplifying y = -7
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