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Simplifying 8 + 5y + -2 = 5y + 22 + -2y Reorder the terms: 8 + -2 + 5y = 5y + 22 + -2y Combine like terms: 8 + -2 = 6 6 + 5y = 5y + 22 + -2y Reorder the terms: 6 + 5y = 22 + 5y + -2y Combine like terms: 5y + -2y = 3y 6 + 5y = 22 + 3y Solving 6 + 5y = 22 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 6 + 5y + -3y = 22 + 3y + -3y Combine like terms: 5y + -3y = 2y 6 + 2y = 22 + 3y + -3y Combine like terms: 3y + -3y = 0 6 + 2y = 22 + 0 6 + 2y = 22 Add '-6' to each side of the equation. 6 + -6 + 2y = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 2y = 22 + -6 2y = 22 + -6 Combine like terms: 22 + -6 = 16 2y = 16 Divide each side by '2'. y = 8 Simplifying y = 8
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