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Simplifying 6y + 9(800 + -1y) = 47y 6y + (800 * 9 + -1y * 9) = 47y 6y + (7200 + -9y) = 47y Reorder the terms: 7200 + 6y + -9y = 47y Combine like terms: 6y + -9y = -3y 7200 + -3y = 47y Solving 7200 + -3y = 47y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-47y' to each side of the equation. 7200 + -3y + -47y = 47y + -47y Combine like terms: -3y + -47y = -50y 7200 + -50y = 47y + -47y Combine like terms: 47y + -47y = 0 7200 + -50y = 0 Add '-7200' to each side of the equation. 7200 + -7200 + -50y = 0 + -7200 Combine like terms: 7200 + -7200 = 0 0 + -50y = 0 + -7200 -50y = 0 + -7200 Combine like terms: 0 + -7200 = -7200 -50y = -7200 Divide each side by '-50'. y = 144 Simplifying y = 144
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