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Simplifying -4(3y + -6) + 3(2y + 5) = 0 Reorder the terms: -4(-6 + 3y) + 3(2y + 5) = 0 (-6 * -4 + 3y * -4) + 3(2y + 5) = 0 (24 + -12y) + 3(2y + 5) = 0 Reorder the terms: 24 + -12y + 3(5 + 2y) = 0 24 + -12y + (5 * 3 + 2y * 3) = 0 24 + -12y + (15 + 6y) = 0 Reorder the terms: 24 + 15 + -12y + 6y = 0 Combine like terms: 24 + 15 = 39 39 + -12y + 6y = 0 Combine like terms: -12y + 6y = -6y 39 + -6y = 0 Solving 39 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -6y = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -6y = 0 + -39 -6y = 0 + -39 Combine like terms: 0 + -39 = -39 -6y = -39 Divide each side by '-6'. y = 6.5 Simplifying y = 6.5
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