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Simplifying 3(4y + 8) + -4(y + -6) = 0 Reorder the terms: 3(8 + 4y) + -4(y + -6) = 0 (8 * 3 + 4y * 3) + -4(y + -6) = 0 (24 + 12y) + -4(y + -6) = 0 Reorder the terms: 24 + 12y + -4(-6 + y) = 0 24 + 12y + (-6 * -4 + y * -4) = 0 24 + 12y + (24 + -4y) = 0 Reorder the terms: 24 + 24 + 12y + -4y = 0 Combine like terms: 24 + 24 = 48 48 + 12y + -4y = 0 Combine like terms: 12y + -4y = 8y 48 + 8y = 0 Solving 48 + 8y = 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 + 8y = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 8y = 0 + -48 8y = 0 + -48 Combine like terms: 0 + -48 = -48 8y = -48 Divide each side by '8'. y = -6 Simplifying y = -6
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