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Simplifying y = 10 + -0.667(15 + -1.5y + -2.5z) + -1.667z y = 10 + (15 * -0.667 + -1.5y * -0.667 + -2.5z * -0.667) + -1.667z y = 10 + (-10.005 + 1.0005y + 1.6675z) + -1.667z Combine like terms: 10 + -10.005 = -0.005 y = -0.005 + 1.0005y + 1.6675z + -1.667z Combine like terms: 1.6675z + -1.667z = 0.0005z y = -0.005 + 1.0005y + 0.0005z Solving y = -0.005 + 1.0005y + 0.0005z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.0005y' to each side of the equation. y + -1.0005y = -0.005 + 1.0005y + -1.0005y + 0.0005z Combine like terms: y + -1.0005y = -0.0005y -0.0005y = -0.005 + 1.0005y + -1.0005y + 0.0005z Combine like terms: 1.0005y + -1.0005y = 0.0000 -0.0005y = -0.005 + 0.0000 + 0.0005z -0.0005y = -0.005 + 0.0005z Divide each side by '-0.0005'. y = 10 + -1z Simplifying y = 10 + -1z
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