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Simplifying 6(5y + -5) + -1(7y + 5) = 0 Reorder the terms: 6(-5 + 5y) + -1(7y + 5) = 0 (-5 * 6 + 5y * 6) + -1(7y + 5) = 0 (-30 + 30y) + -1(7y + 5) = 0 Reorder the terms: -30 + 30y + -1(5 + 7y) = 0 -30 + 30y + (5 * -1 + 7y * -1) = 0 -30 + 30y + (-5 + -7y) = 0 Reorder the terms: -30 + -5 + 30y + -7y = 0 Combine like terms: -30 + -5 = -35 -35 + 30y + -7y = 0 Combine like terms: 30y + -7y = 23y -35 + 23y = 0 Solving -35 + 23y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 23y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 23y = 0 + 35 23y = 0 + 35 Combine like terms: 0 + 35 = 35 23y = 35 Divide each side by '23'. y = 1.52173913 Simplifying y = 1.52173913
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