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Simplifying -3(4y + -8) + 2(3y + 7) = 0 Reorder the terms: -3(-8 + 4y) + 2(3y + 7) = 0 (-8 * -3 + 4y * -3) + 2(3y + 7) = 0 (24 + -12y) + 2(3y + 7) = 0 Reorder the terms: 24 + -12y + 2(7 + 3y) = 0 24 + -12y + (7 * 2 + 3y * 2) = 0 24 + -12y + (14 + 6y) = 0 Reorder the terms: 24 + 14 + -12y + 6y = 0 Combine like terms: 24 + 14 = 38 38 + -12y + 6y = 0 Combine like terms: -12y + 6y = -6y 38 + -6y = 0 Solving 38 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -6y = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -6y = 0 + -38 -6y = 0 + -38 Combine like terms: 0 + -38 = -38 -6y = -38 Divide each side by '-6'. y = 6.333333333 Simplifying y = 6.333333333
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