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Simplifying -5(4y + -8) + 4(3y + 8) = 0 Reorder the terms: -5(-8 + 4y) + 4(3y + 8) = 0 (-8 * -5 + 4y * -5) + 4(3y + 8) = 0 (40 + -20y) + 4(3y + 8) = 0 Reorder the terms: 40 + -20y + 4(8 + 3y) = 0 40 + -20y + (8 * 4 + 3y * 4) = 0 40 + -20y + (32 + 12y) = 0 Reorder the terms: 40 + 32 + -20y + 12y = 0 Combine like terms: 40 + 32 = 72 72 + -20y + 12y = 0 Combine like terms: -20y + 12y = -8y 72 + -8y = 0 Solving 72 + -8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + -8y = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -8y = 0 + -72 -8y = 0 + -72 Combine like terms: 0 + -72 = -72 -8y = -72 Divide each side by '-8'. y = 9 Simplifying y = 9
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