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Simplifying 5(1 + -9y) + 6(y + -10) = 0 (1 * 5 + -9y * 5) + 6(y + -10) = 0 (5 + -45y) + 6(y + -10) = 0 Reorder the terms: 5 + -45y + 6(-10 + y) = 0 5 + -45y + (-10 * 6 + y * 6) = 0 5 + -45y + (-60 + 6y) = 0 Reorder the terms: 5 + -60 + -45y + 6y = 0 Combine like terms: 5 + -60 = -55 -55 + -45y + 6y = 0 Combine like terms: -45y + 6y = -39y -55 + -39y = 0 Solving -55 + -39y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + -39y = 0 + 55 Combine like terms: -55 + 55 = 0 0 + -39y = 0 + 55 -39y = 0 + 55 Combine like terms: 0 + 55 = 55 -39y = 55 Divide each side by '-39'. y = -1.41025641 Simplifying y = -1.41025641
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