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Simplifying r = (y + 10)(y + 8) Reorder the terms: r = (10 + y)(y + 8) Reorder the terms: r = (10 + y)(8 + y) Multiply (10 + y) * (8 + y) r = (10(8 + y) + y(8 + y)) r = ((8 * 10 + y * 10) + y(8 + y)) r = ((80 + 10y) + y(8 + y)) r = (80 + 10y + (8 * y + y * y)) r = (80 + 10y + (8y + y2)) Combine like terms: 10y + 8y = 18y r = (80 + 18y + y2) Solving r = 80 + 18y + y2 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Simplifying r = 80 + 18y + y2
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