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Simplifying 3(3y + 9) + -4(y + -3) = 0 Reorder the terms: 3(9 + 3y) + -4(y + -3) = 0 (9 * 3 + 3y * 3) + -4(y + -3) = 0 (27 + 9y) + -4(y + -3) = 0 Reorder the terms: 27 + 9y + -4(-3 + y) = 0 27 + 9y + (-3 * -4 + y * -4) = 0 27 + 9y + (12 + -4y) = 0 Reorder the terms: 27 + 12 + 9y + -4y = 0 Combine like terms: 27 + 12 = 39 39 + 9y + -4y = 0 Combine like terms: 9y + -4y = 5y 39 + 5y = 0 Solving 39 + 5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 5y = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 5y = 0 + -39 5y = 0 + -39 Combine like terms: 0 + -39 = -39 5y = -39 Divide each side by '5'. y = -7.8 Simplifying y = -7.8
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