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Simplifying 7(7y + -6) + -1(8y + 7) = 0 Reorder the terms: 7(-6 + 7y) + -1(8y + 7) = 0 (-6 * 7 + 7y * 7) + -1(8y + 7) = 0 (-42 + 49y) + -1(8y + 7) = 0 Reorder the terms: -42 + 49y + -1(7 + 8y) = 0 -42 + 49y + (7 * -1 + 8y * -1) = 0 -42 + 49y + (-7 + -8y) = 0 Reorder the terms: -42 + -7 + 49y + -8y = 0 Combine like terms: -42 + -7 = -49 -49 + 49y + -8y = 0 Combine like terms: 49y + -8y = 41y -49 + 41y = 0 Solving -49 + 41y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 41y = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 41y = 0 + 49 41y = 0 + 49 Combine like terms: 0 + 49 = 49 41y = 49 Divide each side by '41'. y = 1.195121951 Simplifying y = 1.195121951
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