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Simplifying 5(50 + -1.5y + -2z) + 7y + 9z = 242 (50 * 5 + -1.5y * 5 + -2z * 5) + 7y + 9z = 242 (250 + -7.5y + -10z) + 7y + 9z = 242 Reorder the terms: 250 + -7.5y + 7y + -10z + 9z = 242 Combine like terms: -7.5y + 7y = -0.5y 250 + -0.5y + -10z + 9z = 242 Combine like terms: -10z + 9z = -1z 250 + -0.5y + -1z = 242 Solving 250 + -0.5y + -1z = 242 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-250' to each side of the equation. 250 + -0.5y + -250 + -1z = 242 + -250 Reorder the terms: 250 + -250 + -0.5y + -1z = 242 + -250 Combine like terms: 250 + -250 = 0 0 + -0.5y + -1z = 242 + -250 -0.5y + -1z = 242 + -250 Combine like terms: 242 + -250 = -8 -0.5y + -1z = -8 Add 'z' to each side of the equation. -0.5y + -1z + z = -8 + z Combine like terms: -1z + z = 0 -0.5y + 0 = -8 + z -0.5y = -8 + z Divide each side by '-0.5'. y = 16 + -2z Simplifying y = 16 + -2z
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