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Simplifying 10y + 7 = 5y + 22 Reorder the terms: 7 + 10y = 5y + 22 Reorder the terms: 7 + 10y = 22 + 5y Solving 7 + 10y = 22 + 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. 7 + 10y + -5y = 22 + 5y + -5y Combine like terms: 10y + -5y = 5y 7 + 5y = 22 + 5y + -5y Combine like terms: 5y + -5y = 0 7 + 5y = 22 + 0 7 + 5y = 22 Add '-7' to each side of the equation. 7 + -7 + 5y = 22 + -7 Combine like terms: 7 + -7 = 0 0 + 5y = 22 + -7 5y = 22 + -7 Combine like terms: 22 + -7 = 15 5y = 15 Divide each side by '5'. y = 3 Simplifying y = 3
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