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Simplifying -5(4y + -10) + 2(2y + 5) = 0 Reorder the terms: -5(-10 + 4y) + 2(2y + 5) = 0 (-10 * -5 + 4y * -5) + 2(2y + 5) = 0 (50 + -20y) + 2(2y + 5) = 0 Reorder the terms: 50 + -20y + 2(5 + 2y) = 0 50 + -20y + (5 * 2 + 2y * 2) = 0 50 + -20y + (10 + 4y) = 0 Reorder the terms: 50 + 10 + -20y + 4y = 0 Combine like terms: 50 + 10 = 60 60 + -20y + 4y = 0 Combine like terms: -20y + 4y = -16y 60 + -16y = 0 Solving 60 + -16y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -16y = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -16y = 0 + -60 -16y = 0 + -60 Combine like terms: 0 + -60 = -60 -16y = -60 Divide each side by '-16'. y = 3.75 Simplifying y = 3.75
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