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Simplifying ((1y + z) + (10 + -0.2y + -0.02z)) = 500 Remove parenthesis around (1y + z) (1y + z + (10 + -0.2y + -0.02z)) = 500 Remove parenthesis around (10 + -0.2y + -0.02z) (1y + z + 10 + -0.2y + -0.02z) = 500 Reorder the terms: (10 + 1y + -0.2y + z + -0.02z) = 500 Combine like terms: 1y + -0.2y = 0.8y (10 + 0.8y + z + -0.02z) = 500 Combine like terms: z + -0.02z = 0.98z (10 + 0.8y + 0.98z) = 500 Remove parenthesis around (10 + 0.8y + 0.98z) 10 + 0.8y + 0.98z = 500 Solving 10 + 0.8y + 0.98z = 500 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 0.8y + -10 + 0.98z = 500 + -10 Reorder the terms: 10 + -10 + 0.8y + 0.98z = 500 + -10 Combine like terms: 10 + -10 = 0 0 + 0.8y + 0.98z = 500 + -10 0.8y + 0.98z = 500 + -10 Combine like terms: 500 + -10 = 490 0.8y + 0.98z = 490 Add '-0.98z' to each side of the equation. 0.8y + 0.98z + -0.98z = 490 + -0.98z Combine like terms: 0.98z + -0.98z = 0.00 0.8y + 0.00 = 490 + -0.98z 0.8y = 490 + -0.98z Divide each side by '0.8'. y = 612.5 + -1.225z Simplifying y = 612.5 + -1.225z
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