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Simplifying 10y + -8 + 2y = 7y + 17 Reorder the terms: -8 + 10y + 2y = 7y + 17 Combine like terms: 10y + 2y = 12y -8 + 12y = 7y + 17 Reorder the terms: -8 + 12y = 17 + 7y Solving -8 + 12y = 17 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -8 + 12y + -7y = 17 + 7y + -7y Combine like terms: 12y + -7y = 5y -8 + 5y = 17 + 7y + -7y Combine like terms: 7y + -7y = 0 -8 + 5y = 17 + 0 -8 + 5y = 17 Add '8' to each side of the equation. -8 + 8 + 5y = 17 + 8 Combine like terms: -8 + 8 = 0 0 + 5y = 17 + 8 5y = 17 + 8 Combine like terms: 17 + 8 = 25 5y = 25 Divide each side by '5'. y = 5 Simplifying y = 5
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