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Simplifying 9(4y + -7) + -1(5y + 2) = 0 Reorder the terms: 9(-7 + 4y) + -1(5y + 2) = 0 (-7 * 9 + 4y * 9) + -1(5y + 2) = 0 (-63 + 36y) + -1(5y + 2) = 0 Reorder the terms: -63 + 36y + -1(2 + 5y) = 0 -63 + 36y + (2 * -1 + 5y * -1) = 0 -63 + 36y + (-2 + -5y) = 0 Reorder the terms: -63 + -2 + 36y + -5y = 0 Combine like terms: -63 + -2 = -65 -65 + 36y + -5y = 0 Combine like terms: 36y + -5y = 31y -65 + 31y = 0 Solving -65 + 31y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + 31y = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 31y = 0 + 65 31y = 0 + 65 Combine like terms: 0 + 65 = 65 31y = 65 Divide each side by '31'. y = 2.096774194 Simplifying y = 2.096774194
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