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Simplifying 7(9y + -5) + -1(5y + 8) = 1 Reorder the terms: 7(-5 + 9y) + -1(5y + 8) = 1 (-5 * 7 + 9y * 7) + -1(5y + 8) = 1 (-35 + 63y) + -1(5y + 8) = 1 Reorder the terms: -35 + 63y + -1(8 + 5y) = 1 -35 + 63y + (8 * -1 + 5y * -1) = 1 -35 + 63y + (-8 + -5y) = 1 Reorder the terms: -35 + -8 + 63y + -5y = 1 Combine like terms: -35 + -8 = -43 -43 + 63y + -5y = 1 Combine like terms: 63y + -5y = 58y -43 + 58y = 1 Solving -43 + 58y = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 58y = 1 + 43 Combine like terms: -43 + 43 = 0 0 + 58y = 1 + 43 58y = 1 + 43 Combine like terms: 1 + 43 = 44 58y = 44 Divide each side by '58'. y = 0.7586206897 Simplifying y = 0.7586206897
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