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Simplifying 11y + 5(5 + 5y) + 5(10 + -4y) = 66 11y + (5 * 5 + 5y * 5) + 5(10 + -4y) = 66 11y + (25 + 25y) + 5(10 + -4y) = 66 11y + 25 + 25y + (10 * 5 + -4y * 5) = 66 11y + 25 + 25y + (50 + -20y) = 66 Reorder the terms: 25 + 50 + 11y + 25y + -20y = 66 Combine like terms: 25 + 50 = 75 75 + 11y + 25y + -20y = 66 Combine like terms: 11y + 25y = 36y 75 + 36y + -20y = 66 Combine like terms: 36y + -20y = 16y 75 + 16y = 66 Solving 75 + 16y = 66 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + 16y = 66 + -75 Combine like terms: 75 + -75 = 0 0 + 16y = 66 + -75 16y = 66 + -75 Combine like terms: 66 + -75 = -9 16y = -9 Divide each side by '16'. y = -0.5625 Simplifying y = -0.5625
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