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Simplifying -4(5y + -7) + 2(2y + 8) = 0 Reorder the terms: -4(-7 + 5y) + 2(2y + 8) = 0 (-7 * -4 + 5y * -4) + 2(2y + 8) = 0 (28 + -20y) + 2(2y + 8) = 0 Reorder the terms: 28 + -20y + 2(8 + 2y) = 0 28 + -20y + (8 * 2 + 2y * 2) = 0 28 + -20y + (16 + 4y) = 0 Reorder the terms: 28 + 16 + -20y + 4y = 0 Combine like terms: 28 + 16 = 44 44 + -20y + 4y = 0 Combine like terms: -20y + 4y = -16y 44 + -16y = 0 Solving 44 + -16y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -16y = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -16y = 0 + -44 -16y = 0 + -44 Combine like terms: 0 + -44 = -44 -16y = -44 Divide each side by '-16'. y = 2.75 Simplifying y = 2.75
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