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Simplifying 6(2y + -9) + -1(4y + 7) = 0 Reorder the terms: 6(-9 + 2y) + -1(4y + 7) = 0 (-9 * 6 + 2y * 6) + -1(4y + 7) = 0 (-54 + 12y) + -1(4y + 7) = 0 Reorder the terms: -54 + 12y + -1(7 + 4y) = 0 -54 + 12y + (7 * -1 + 4y * -1) = 0 -54 + 12y + (-7 + -4y) = 0 Reorder the terms: -54 + -7 + 12y + -4y = 0 Combine like terms: -54 + -7 = -61 -61 + 12y + -4y = 0 Combine like terms: 12y + -4y = 8y -61 + 8y = 0 Solving -61 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + 8y = 0 + 61 Combine like terms: -61 + 61 = 0 0 + 8y = 0 + 61 8y = 0 + 61 Combine like terms: 0 + 61 = 61 8y = 61 Divide each side by '8'. y = 7.625 Simplifying y = 7.625
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