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Simplifying 15(100 + -1y + -1z) + y + 0.25z = 100 (100 * 15 + -1y * 15 + -1z * 15) + y + 0.25z = 100 (1500 + -15y + -15z) + y + 0.25z = 100 Reorder the terms: 1500 + -15y + y + -15z + 0.25z = 100 Combine like terms: -15y + y = -14y 1500 + -14y + -15z + 0.25z = 100 Combine like terms: -15z + 0.25z = -14.75z 1500 + -14y + -14.75z = 100 Solving 1500 + -14y + -14.75z = 100 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1500' to each side of the equation. 1500 + -14y + -1500 + -14.75z = 100 + -1500 Reorder the terms: 1500 + -1500 + -14y + -14.75z = 100 + -1500 Combine like terms: 1500 + -1500 = 0 0 + -14y + -14.75z = 100 + -1500 -14y + -14.75z = 100 + -1500 Combine like terms: 100 + -1500 = -1400 -14y + -14.75z = -1400 Add '14.75z' to each side of the equation. -14y + -14.75z + 14.75z = -1400 + 14.75z Combine like terms: -14.75z + 14.75z = 0.00 -14y + 0.00 = -1400 + 14.75z -14y = -1400 + 14.75z Divide each side by '-14'. y = 100 + -1.053571429z Simplifying y = 100 + -1.053571429z
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