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Simplifying -4(3y + -9) + 3(2y + 6) = 0 Reorder the terms: -4(-9 + 3y) + 3(2y + 6) = 0 (-9 * -4 + 3y * -4) + 3(2y + 6) = 0 (36 + -12y) + 3(2y + 6) = 0 Reorder the terms: 36 + -12y + 3(6 + 2y) = 0 36 + -12y + (6 * 3 + 2y * 3) = 0 36 + -12y + (18 + 6y) = 0 Reorder the terms: 36 + 18 + -12y + 6y = 0 Combine like terms: 36 + 18 = 54 54 + -12y + 6y = 0 Combine like terms: -12y + 6y = -6y 54 + -6y = 0 Solving 54 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -6y = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -6y = 0 + -54 -6y = 0 + -54 Combine like terms: 0 + -54 = -54 -6y = -54 Divide each side by '-6'. y = 9 Simplifying y = 9
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