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Simplifying -3(4y + -8) + 2(3y + 8) = 0 Reorder the terms: -3(-8 + 4y) + 2(3y + 8) = 0 (-8 * -3 + 4y * -3) + 2(3y + 8) = 0 (24 + -12y) + 2(3y + 8) = 0 Reorder the terms: 24 + -12y + 2(8 + 3y) = 0 24 + -12y + (8 * 2 + 3y * 2) = 0 24 + -12y + (16 + 6y) = 0 Reorder the terms: 24 + 16 + -12y + 6y = 0 Combine like terms: 24 + 16 = 40 40 + -12y + 6y = 0 Combine like terms: -12y + 6y = -6y 40 + -6y = 0 Solving 40 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -6y = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -6y = 0 + -40 -6y = 0 + -40 Combine like terms: 0 + -40 = -40 -6y = -40 Divide each side by '-6'. y = 6.666666667 Simplifying y = 6.666666667
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