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Simplifying -4(6y + 9) + -3(4 + 5y) = 0 Reorder the terms: -4(9 + 6y) + -3(4 + 5y) = 0 (9 * -4 + 6y * -4) + -3(4 + 5y) = 0 (-36 + -24y) + -3(4 + 5y) = 0 -36 + -24y + (4 * -3 + 5y * -3) = 0 -36 + -24y + (-12 + -15y) = 0 Reorder the terms: -36 + -12 + -24y + -15y = 0 Combine like terms: -36 + -12 = -48 -48 + -24y + -15y = 0 Combine like terms: -24y + -15y = -39y -48 + -39y = 0 Solving -48 + -39y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -39y = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -39y = 0 + 48 -39y = 0 + 48 Combine like terms: 0 + 48 = 48 -39y = 48 Divide each side by '-39'. y = -1.230769231 Simplifying y = -1.230769231
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