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Simplifying -3(4y + -8) + 2(3y + 10) = 0 Reorder the terms: -3(-8 + 4y) + 2(3y + 10) = 0 (-8 * -3 + 4y * -3) + 2(3y + 10) = 0 (24 + -12y) + 2(3y + 10) = 0 Reorder the terms: 24 + -12y + 2(10 + 3y) = 0 24 + -12y + (10 * 2 + 3y * 2) = 0 24 + -12y + (20 + 6y) = 0 Reorder the terms: 24 + 20 + -12y + 6y = 0 Combine like terms: 24 + 20 = 44 44 + -12y + 6y = 0 Combine like terms: -12y + 6y = -6y 44 + -6y = 0 Solving 44 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -6y = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -6y = 0 + -44 -6y = 0 + -44 Combine like terms: 0 + -44 = -44 -6y = -44 Divide each side by '-6'. y = 7.333333333 Simplifying y = 7.333333333
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