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Simplifying 6(2y + -4) + -1(7y + 5) = 0 Reorder the terms: 6(-4 + 2y) + -1(7y + 5) = 0 (-4 * 6 + 2y * 6) + -1(7y + 5) = 0 (-24 + 12y) + -1(7y + 5) = 0 Reorder the terms: -24 + 12y + -1(5 + 7y) = 0 -24 + 12y + (5 * -1 + 7y * -1) = 0 -24 + 12y + (-5 + -7y) = 0 Reorder the terms: -24 + -5 + 12y + -7y = 0 Combine like terms: -24 + -5 = -29 -29 + 12y + -7y = 0 Combine like terms: 12y + -7y = 5y -29 + 5y = 0 Solving -29 + 5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 5y = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 5y = 0 + 29 5y = 0 + 29 Combine like terms: 0 + 29 = 29 5y = 29 Divide each side by '5'. y = 5.8 Simplifying y = 5.8
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