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Simplifying 5 + 2y + -2 = 9y + 38 + -2y Reorder the terms: 5 + -2 + 2y = 9y + 38 + -2y Combine like terms: 5 + -2 = 3 3 + 2y = 9y + 38 + -2y Reorder the terms: 3 + 2y = 38 + 9y + -2y Combine like terms: 9y + -2y = 7y 3 + 2y = 38 + 7y Solving 3 + 2y = 38 + 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. 3 + 2y + -7y = 38 + 7y + -7y Combine like terms: 2y + -7y = -5y 3 + -5y = 38 + 7y + -7y Combine like terms: 7y + -7y = 0 3 + -5y = 38 + 0 3 + -5y = 38 Add '-3' to each side of the equation. 3 + -3 + -5y = 38 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = 38 + -3 -5y = 38 + -3 Combine like terms: 38 + -3 = 35 -5y = 35 Divide each side by '-5'. y = -7 Simplifying y = -7
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