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Simplifying 22 + 3y + -5 = 12y + -13 + -3y Reorder the terms: 22 + -5 + 3y = 12y + -13 + -3y Combine like terms: 22 + -5 = 17 17 + 3y = 12y + -13 + -3y Reorder the terms: 17 + 3y = -13 + 12y + -3y Combine like terms: 12y + -3y = 9y 17 + 3y = -13 + 9y Solving 17 + 3y = -13 + 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. 17 + 3y + -9y = -13 + 9y + -9y Combine like terms: 3y + -9y = -6y 17 + -6y = -13 + 9y + -9y Combine like terms: 9y + -9y = 0 17 + -6y = -13 + 0 17 + -6y = -13 Add '-17' to each side of the equation. 17 + -17 + -6y = -13 + -17 Combine like terms: 17 + -17 = 0 0 + -6y = -13 + -17 -6y = -13 + -17 Combine like terms: -13 + -17 = -30 -6y = -30 Divide each side by '-6'. y = 5 Simplifying y = 5
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