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Simplifying 5y2 + 17 = 3y2 + -47 Reorder the terms: 17 + 5y2 = 3y2 + -47 Reorder the terms: 17 + 5y2 = -47 + 3y2 Solving 17 + 5y2 = -47 + 3y2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y2' to each side of the equation. 17 + 5y2 + -3y2 = -47 + 3y2 + -3y2 Combine like terms: 5y2 + -3y2 = 2y2 17 + 2y2 = -47 + 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 17 + 2y2 = -47 + 0 17 + 2y2 = -47 Add '-17' to each side of the equation. 17 + -17 + 2y2 = -47 + -17 Combine like terms: 17 + -17 = 0 0 + 2y2 = -47 + -17 2y2 = -47 + -17 Combine like terms: -47 + -17 = -64 2y2 = -64 Divide each side by '2'. y2 = -32 Simplifying y2 = -32 Reorder the terms: 32 + y2 = -32 + 32 Combine like terms: -32 + 32 = 0 32 + y2 = 0 The solution to this equation could not be determined.
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