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Simplifying 3(y + 4) + 2(-2y + -8) = 0 Reorder the terms: 3(4 + y) + 2(-2y + -8) = 0 (4 * 3 + y * 3) + 2(-2y + -8) = 0 (12 + 3y) + 2(-2y + -8) = 0 Reorder the terms: 12 + 3y + 2(-8 + -2y) = 0 12 + 3y + (-8 * 2 + -2y * 2) = 0 12 + 3y + (-16 + -4y) = 0 Reorder the terms: 12 + -16 + 3y + -4y = 0 Combine like terms: 12 + -16 = -4 -4 + 3y + -4y = 0 Combine like terms: 3y + -4y = -1y -4 + -1y = 0 Solving -4 + -1y = 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 + -1y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 0 + 4 -1y = 0 + 4 Combine like terms: 0 + 4 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4
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