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Simplifying 12 + -3(2y + -5) + -6(y + 4) = 0 Reorder the terms: 12 + -3(-5 + 2y) + -6(y + 4) = 0 12 + (-5 * -3 + 2y * -3) + -6(y + 4) = 0 12 + (15 + -6y) + -6(y + 4) = 0 Reorder the terms: 12 + 15 + -6y + -6(4 + y) = 0 12 + 15 + -6y + (4 * -6 + y * -6) = 0 12 + 15 + -6y + (-24 + -6y) = 0 Reorder the terms: 12 + 15 + -24 + -6y + -6y = 0 Combine like terms: 12 + 15 = 27 27 + -24 + -6y + -6y = 0 Combine like terms: 27 + -24 = 3 3 + -6y + -6y = 0 Combine like terms: -6y + -6y = -12y 3 + -12y = 0 Solving 3 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -12y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -12y = 0 + -3 -12y = 0 + -3 Combine like terms: 0 + -3 = -3 -12y = -3 Divide each side by '-12'. y = 0.25 Simplifying y = 0.25
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