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Simplifying 8 + 3(2y + -6) + -3(4y + 5) + -6 = 0 Reorder the terms: 8 + 3(-6 + 2y) + -3(4y + 5) + -6 = 0 8 + (-6 * 3 + 2y * 3) + -3(4y + 5) + -6 = 0 8 + (-18 + 6y) + -3(4y + 5) + -6 = 0 Reorder the terms: 8 + -18 + 6y + -3(5 + 4y) + -6 = 0 8 + -18 + 6y + (5 * -3 + 4y * -3) + -6 = 0 8 + -18 + 6y + (-15 + -12y) + -6 = 0 Reorder the terms: 8 + -18 + -15 + -6 + 6y + -12y = 0 Combine like terms: 8 + -18 = -10 -10 + -15 + -6 + 6y + -12y = 0 Combine like terms: -10 + -15 = -25 -25 + -6 + 6y + -12y = 0 Combine like terms: -25 + -6 = -31 -31 + 6y + -12y = 0 Combine like terms: 6y + -12y = -6y -31 + -6y = 0 Solving -31 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -6y = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -6y = 0 + 31 -6y = 0 + 31 Combine like terms: 0 + 31 = 31 -6y = 31 Divide each side by '-6'. y = -5.166666667 Simplifying y = -5.166666667
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