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Simplifying 8y + -22 = 3y + 2 + 2y + 9 Reorder the terms: -22 + 8y = 3y + 2 + 2y + 9 Reorder the terms: -22 + 8y = 2 + 9 + 3y + 2y Combine like terms: 2 + 9 = 11 -22 + 8y = 11 + 3y + 2y Combine like terms: 3y + 2y = 5y -22 + 8y = 11 + 5y Solving -22 + 8y = 11 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -22 + 8y + -5y = 11 + 5y + -5y Combine like terms: 8y + -5y = 3y -22 + 3y = 11 + 5y + -5y Combine like terms: 5y + -5y = 0 -22 + 3y = 11 + 0 -22 + 3y = 11 Add '22' to each side of the equation. -22 + 22 + 3y = 11 + 22 Combine like terms: -22 + 22 = 0 0 + 3y = 11 + 22 3y = 11 + 22 Combine like terms: 11 + 22 = 33 3y = 33 Divide each side by '3'. y = 11 Simplifying y = 11
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