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Simplifying 6(4y + -3) + -1(7y + 5) = 0 Reorder the terms: 6(-3 + 4y) + -1(7y + 5) = 0 (-3 * 6 + 4y * 6) + -1(7y + 5) = 0 (-18 + 24y) + -1(7y + 5) = 0 Reorder the terms: -18 + 24y + -1(5 + 7y) = 0 -18 + 24y + (5 * -1 + 7y * -1) = 0 -18 + 24y + (-5 + -7y) = 0 Reorder the terms: -18 + -5 + 24y + -7y = 0 Combine like terms: -18 + -5 = -23 -23 + 24y + -7y = 0 Combine like terms: 24y + -7y = 17y -23 + 17y = 0 Solving -23 + 17y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 17y = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 17y = 0 + 23 17y = 0 + 23 Combine like terms: 0 + 23 = 23 17y = 23 Divide each side by '17'. y = 1.352941176 Simplifying y = 1.352941176
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