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Simplifying -4(3y + -6) + 3(2y + 7) = 0 Reorder the terms: -4(-6 + 3y) + 3(2y + 7) = 0 (-6 * -4 + 3y * -4) + 3(2y + 7) = 0 (24 + -12y) + 3(2y + 7) = 0 Reorder the terms: 24 + -12y + 3(7 + 2y) = 0 24 + -12y + (7 * 3 + 2y * 3) = 0 24 + -12y + (21 + 6y) = 0 Reorder the terms: 24 + 21 + -12y + 6y = 0 Combine like terms: 24 + 21 = 45 45 + -12y + 6y = 0 Combine like terms: -12y + 6y = -6y 45 + -6y = 0 Solving 45 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -6y = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -6y = 0 + -45 -6y = 0 + -45 Combine like terms: 0 + -45 = -45 -6y = -45 Divide each side by '-6'. y = 7.5 Simplifying y = 7.5
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