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Simplifying -9(y + 2) + 4(4y + -6) = 6(Y + -5) + 8 Reorder the terms: -9(2 + y) + 4(4y + -6) = 6(Y + -5) + 8 (2 * -9 + y * -9) + 4(4y + -6) = 6(Y + -5) + 8 (-18 + -9y) + 4(4y + -6) = 6(Y + -5) + 8 Reorder the terms: -18 + -9y + 4(-6 + 4y) = 6(Y + -5) + 8 -18 + -9y + (-6 * 4 + 4y * 4) = 6(Y + -5) + 8 -18 + -9y + (-24 + 16y) = 6(Y + -5) + 8 Reorder the terms: -18 + -24 + -9y + 16y = 6(Y + -5) + 8 Combine like terms: -18 + -24 = -42 -42 + -9y + 16y = 6(Y + -5) + 8 Combine like terms: -9y + 16y = 7y -42 + 7y = 6(Y + -5) + 8 Reorder the terms: -42 + 7y = 6(-5 + Y) + 8 -42 + 7y = (-5 * 6 + Y * 6) + 8 -42 + 7y = (-30 + 6Y) + 8 Reorder the terms: -42 + 7y = -30 + 8 + 6Y Combine like terms: -30 + 8 = -22 -42 + 7y = -22 + 6Y Solving -42 + 7y = -22 + 6Y 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 + 7y = -22 + 42 + 6Y Combine like terms: -42 + 42 = 0 0 + 7y = -22 + 42 + 6Y 7y = -22 + 42 + 6Y Combine like terms: -22 + 42 = 20 7y = 20 + 6Y Divide each side by '7'. y = 2.857142857 + 0.8571428571Y Simplifying y = 2.857142857 + 0.8571428571Y
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