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Simplifying 7y + 12 = 2y + 22 Reorder the terms: 12 + 7y = 2y + 22 Reorder the terms: 12 + 7y = 22 + 2y Solving 12 + 7y = 22 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 12 + 7y + -2y = 22 + 2y + -2y Combine like terms: 7y + -2y = 5y 12 + 5y = 22 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + 5y = 22 + 0 12 + 5y = 22 Add '-12' to each side of the equation. 12 + -12 + 5y = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 5y = 22 + -12 5y = 22 + -12 Combine like terms: 22 + -12 = 10 5y = 10 Divide each side by '5'. y = 2 Simplifying y = 2
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