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Simplifying -4(y + 6) + 4(3y + 5) = 0 Reorder the terms: -4(6 + y) + 4(3y + 5) = 0 (6 * -4 + y * -4) + 4(3y + 5) = 0 (-24 + -4y) + 4(3y + 5) = 0 Reorder the terms: -24 + -4y + 4(5 + 3y) = 0 -24 + -4y + (5 * 4 + 3y * 4) = 0 -24 + -4y + (20 + 12y) = 0 Reorder the terms: -24 + 20 + -4y + 12y = 0 Combine like terms: -24 + 20 = -4 -4 + -4y + 12y = 0 Combine like terms: -4y + 12y = 8y -4 + 8y = 0 Solving -4 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 8y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 8y = 0 + 4 8y = 0 + 4 Combine like terms: 0 + 4 = 4 8y = 4 Divide each side by '8'. y = 0.5 Simplifying y = 0.5
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