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Simplifying -5(4y + -7) + 4(2y + 8) = 0 Reorder the terms: -5(-7 + 4y) + 4(2y + 8) = 0 (-7 * -5 + 4y * -5) + 4(2y + 8) = 0 (35 + -20y) + 4(2y + 8) = 0 Reorder the terms: 35 + -20y + 4(8 + 2y) = 0 35 + -20y + (8 * 4 + 2y * 4) = 0 35 + -20y + (32 + 8y) = 0 Reorder the terms: 35 + 32 + -20y + 8y = 0 Combine like terms: 35 + 32 = 67 67 + -20y + 8y = 0 Combine like terms: -20y + 8y = -12y 67 + -12y = 0 Solving 67 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-67' to each side of the equation. 67 + -67 + -12y = 0 + -67 Combine like terms: 67 + -67 = 0 0 + -12y = 0 + -67 -12y = 0 + -67 Combine like terms: 0 + -67 = -67 -12y = -67 Divide each side by '-12'. y = 5.583333333 Simplifying y = 5.583333333
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