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Simplifying 6(9y + -4) + -1[3(4y + -3) + 5] = 0 Reorder the terms: 6(-4 + 9y) + -1[3(4y + -3) + 5] = 0 (-4 * 6 + 9y * 6) + -1[3(4y + -3) + 5] = 0 (-24 + 54y) + -1[3(4y + -3) + 5] = 0 Reorder the terms: -24 + 54y + -1[3(-3 + 4y) + 5] = 0 -24 + 54y + -1[(-3 * 3 + 4y * 3) + 5] = 0 -24 + 54y + -1[(-9 + 12y) + 5] = 0 Reorder the terms: -24 + 54y + -1[-9 + 5 + 12y] = 0 Combine like terms: -9 + 5 = -4 -24 + 54y + -1[-4 + 12y] = 0 -24 + 54y + [-4 * -1 + 12y * -1] = 0 -24 + 54y + [4 + -12y] = 0 Reorder the terms: -24 + 4 + 54y + -12y = 0 Combine like terms: -24 + 4 = -20 -20 + 54y + -12y = 0 Combine like terms: 54y + -12y = 42y -20 + 42y = 0 Solving -20 + 42y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 42y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 42y = 0 + 20 42y = 0 + 20 Combine like terms: 0 + 20 = 20 42y = 20 Divide each side by '42'. y = 0.4761904762 Simplifying y = 0.4761904762
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