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Simplifying -4(3y + -6) + 3(2y + 8) = 0 Reorder the terms: -4(-6 + 3y) + 3(2y + 8) = 0 (-6 * -4 + 3y * -4) + 3(2y + 8) = 0 (24 + -12y) + 3(2y + 8) = 0 Reorder the terms: 24 + -12y + 3(8 + 2y) = 0 24 + -12y + (8 * 3 + 2y * 3) = 0 24 + -12y + (24 + 6y) = 0 Reorder the terms: 24 + 24 + -12y + 6y = 0 Combine like terms: 24 + 24 = 48 48 + -12y + 6y = 0 Combine like terms: -12y + 6y = -6y 48 + -6y = 0 Solving 48 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -6y = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -6y = 0 + -48 -6y = 0 + -48 Combine like terms: 0 + -48 = -48 -6y = -48 Divide each side by '-6'. y = 8 Simplifying y = 8
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