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Simplifying 7 + 2y + -5 = 9y + 17 + -2y Reorder the terms: 7 + -5 + 2y = 9y + 17 + -2y Combine like terms: 7 + -5 = 2 2 + 2y = 9y + 17 + -2y Reorder the terms: 2 + 2y = 17 + 9y + -2y Combine like terms: 9y + -2y = 7y 2 + 2y = 17 + 7y Solving 2 + 2y = 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. 2 + 2y + -7y = 17 + 7y + -7y Combine like terms: 2y + -7y = -5y 2 + -5y = 17 + 7y + -7y Combine like terms: 7y + -7y = 0 2 + -5y = 17 + 0 2 + -5y = 17 Add '-2' to each side of the equation. 2 + -2 + -5y = 17 + -2 Combine like terms: 2 + -2 = 0 0 + -5y = 17 + -2 -5y = 17 + -2 Combine like terms: 17 + -2 = 15 -5y = 15 Divide each side by '-5'. y = -3 Simplifying y = -3
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