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Simplifying -0.08y + 0.09(1000 + -1t) = 0.08y -0.08y + (1000 * 0.09 + -1t * 0.09) = 0.08y -0.08y + (90 + -0.09t) = 0.08y Reorder the terms: 90 + -0.09t + -0.08y = 0.08y Solving 90 + -0.09t + -0.08y = 0.08y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -0.09t + -90 + -0.08y = -90 + 0.08y Reorder the terms: 90 + -90 + -0.09t + -0.08y = -90 + 0.08y Combine like terms: 90 + -90 = 0 0 + -0.09t + -0.08y = -90 + 0.08y -0.09t + -0.08y = -90 + 0.08y Add '0.08y' to each side of the equation. -0.09t + -0.08y + 0.08y = -90 + 0.08y + 0.08y Combine like terms: -0.08y + 0.08y = 0.00 -0.09t + 0.00 = -90 + 0.08y + 0.08y -0.09t = -90 + 0.08y + 0.08y Combine like terms: 0.08y + 0.08y = 0.16y -0.09t = -90 + 0.16y Divide each side by '-0.09'. t = 1000 + -1.777777778y Simplifying t = 1000 + -1.777777778y
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