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Simplifying -5(4y + -8) + 4(2y + 7) = 0 Reorder the terms: -5(-8 + 4y) + 4(2y + 7) = 0 (-8 * -5 + 4y * -5) + 4(2y + 7) = 0 (40 + -20y) + 4(2y + 7) = 0 Reorder the terms: 40 + -20y + 4(7 + 2y) = 0 40 + -20y + (7 * 4 + 2y * 4) = 0 40 + -20y + (28 + 8y) = 0 Reorder the terms: 40 + 28 + -20y + 8y = 0 Combine like terms: 40 + 28 = 68 68 + -20y + 8y = 0 Combine like terms: -20y + 8y = -12y 68 + -12y = 0 Solving 68 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + -12y = 0 + -68 Combine like terms: 68 + -68 = 0 0 + -12y = 0 + -68 -12y = 0 + -68 Combine like terms: 0 + -68 = -68 -12y = -68 Divide each side by '-12'. y = 5.666666667 Simplifying y = 5.666666667
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