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Simplifying 3(5y + -9) + -4(y + 4) = 0 Reorder the terms: 3(-9 + 5y) + -4(y + 4) = 0 (-9 * 3 + 5y * 3) + -4(y + 4) = 0 (-27 + 15y) + -4(y + 4) = 0 Reorder the terms: -27 + 15y + -4(4 + y) = 0 -27 + 15y + (4 * -4 + y * -4) = 0 -27 + 15y + (-16 + -4y) = 0 Reorder the terms: -27 + -16 + 15y + -4y = 0 Combine like terms: -27 + -16 = -43 -43 + 15y + -4y = 0 Combine like terms: 15y + -4y = 11y -43 + 11y = 0 Solving -43 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 11y = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 11y = 0 + 43 11y = 0 + 43 Combine like terms: 0 + 43 = 43 11y = 43 Divide each side by '11'. y = 3.909090909 Simplifying y = 3.909090909
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