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Simplifying 4(3y + 2) + -4(y + -5) = 0 Reorder the terms: 4(2 + 3y) + -4(y + -5) = 0 (2 * 4 + 3y * 4) + -4(y + -5) = 0 (8 + 12y) + -4(y + -5) = 0 Reorder the terms: 8 + 12y + -4(-5 + y) = 0 8 + 12y + (-5 * -4 + y * -4) = 0 8 + 12y + (20 + -4y) = 0 Reorder the terms: 8 + 20 + 12y + -4y = 0 Combine like terms: 8 + 20 = 28 28 + 12y + -4y = 0 Combine like terms: 12y + -4y = 8y 28 + 8y = 0 Solving 28 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 8y = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 8y = 0 + -28 8y = 0 + -28 Combine like terms: 0 + -28 = -28 8y = -28 Divide each side by '8'. y = -3.5 Simplifying y = -3.5
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