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Simplifying 4(7y + -9) + -1(4y + 6) = 0 Reorder the terms: 4(-9 + 7y) + -1(4y + 6) = 0 (-9 * 4 + 7y * 4) + -1(4y + 6) = 0 (-36 + 28y) + -1(4y + 6) = 0 Reorder the terms: -36 + 28y + -1(6 + 4y) = 0 -36 + 28y + (6 * -1 + 4y * -1) = 0 -36 + 28y + (-6 + -4y) = 0 Reorder the terms: -36 + -6 + 28y + -4y = 0 Combine like terms: -36 + -6 = -42 -42 + 28y + -4y = 0 Combine like terms: 28y + -4y = 24y -42 + 24y = 0 Solving -42 + 24y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 24y = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 24y = 0 + 42 24y = 0 + 42 Combine like terms: 0 + 42 = 42 24y = 42 Divide each side by '24'. y = 1.75 Simplifying y = 1.75
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