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Simplifying 9(y2 + 3) = 4(y2 + -12) Reorder the terms: 9(3 + y2) = 4(y2 + -12) (3 * 9 + y2 * 9) = 4(y2 + -12) (27 + 9y2) = 4(y2 + -12) Reorder the terms: 27 + 9y2 = 4(-12 + y2) 27 + 9y2 = (-12 * 4 + y2 * 4) 27 + 9y2 = (-48 + 4y2) Solving 27 + 9y2 = -48 + 4y2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y2' to each side of the equation. 27 + 9y2 + -4y2 = -48 + 4y2 + -4y2 Combine like terms: 9y2 + -4y2 = 5y2 27 + 5y2 = -48 + 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 27 + 5y2 = -48 + 0 27 + 5y2 = -48 Add '-27' to each side of the equation. 27 + -27 + 5y2 = -48 + -27 Combine like terms: 27 + -27 = 0 0 + 5y2 = -48 + -27 5y2 = -48 + -27 Combine like terms: -48 + -27 = -75 5y2 = -75 Divide each side by '5'. y2 = -15 Simplifying y2 = -15 Reorder the terms: 15 + y2 = -15 + 15 Combine like terms: -15 + 15 = 0 15 + y2 = 0 The solution to this equation could not be determined.
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