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Simplifying 5(9y + -2) + -1(9y + 2) = 0 Reorder the terms: 5(-2 + 9y) + -1(9y + 2) = 0 (-2 * 5 + 9y * 5) + -1(9y + 2) = 0 (-10 + 45y) + -1(9y + 2) = 0 Reorder the terms: -10 + 45y + -1(2 + 9y) = 0 -10 + 45y + (2 * -1 + 9y * -1) = 0 -10 + 45y + (-2 + -9y) = 0 Reorder the terms: -10 + -2 + 45y + -9y = 0 Combine like terms: -10 + -2 = -12 -12 + 45y + -9y = 0 Combine like terms: 45y + -9y = 36y -12 + 36y = 0 Solving -12 + 36y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 36y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 36y = 0 + 12 36y = 0 + 12 Combine like terms: 0 + 12 = 12 36y = 12 Divide each side by '36'. y = 0.3333333333 Simplifying y = 0.3333333333
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