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Simplifying -5(4y + -6) + 2(2y + 5) = 0 Reorder the terms: -5(-6 + 4y) + 2(2y + 5) = 0 (-6 * -5 + 4y * -5) + 2(2y + 5) = 0 (30 + -20y) + 2(2y + 5) = 0 Reorder the terms: 30 + -20y + 2(5 + 2y) = 0 30 + -20y + (5 * 2 + 2y * 2) = 0 30 + -20y + (10 + 4y) = 0 Reorder the terms: 30 + 10 + -20y + 4y = 0 Combine like terms: 30 + 10 = 40 40 + -20y + 4y = 0 Combine like terms: -20y + 4y = -16y 40 + -16y = 0 Solving 40 + -16y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -16y = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -16y = 0 + -40 -16y = 0 + -40 Combine like terms: 0 + -40 = -40 -16y = -40 Divide each side by '-16'. y = 2.5 Simplifying y = 2.5
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