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Simplifying 6 + -5[9 + -1(9y + -5)] = 0 Reorder the terms: 6 + -5[9 + -1(-5 + 9y)] = 0 6 + -5[9 + (-5 * -1 + 9y * -1)] = 0 6 + -5[9 + (5 + -9y)] = 0 Combine like terms: 9 + 5 = 14 6 + -5[14 + -9y] = 0 6 + [14 * -5 + -9y * -5] = 0 6 + [-70 + 45y] = 0 Combine like terms: 6 + -70 = -64 -64 + 45y = 0 Solving -64 + 45y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 45y = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 45y = 0 + 64 45y = 0 + 64 Combine like terms: 0 + 64 = 64 45y = 64 Divide each side by '45'. y = 1.422222222 Simplifying y = 1.422222222
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