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Simplifying (0.3y + 0.05z) + 3y + 0.5z = 100 Remove parenthesis around (0.3y + 0.05z) 0.3y + 0.05z + 3y + 0.5z = 100 Reorder the terms: 0.3y + 3y + 0.05z + 0.5z = 100 Combine like terms: 0.3y + 3y = 3.3y 3.3y + 0.05z + 0.5z = 100 Combine like terms: 0.05z + 0.5z = 0.55z 3.3y + 0.55z = 100 Solving 3.3y + 0.55z = 100 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.55z' to each side of the equation. 3.3y + 0.55z + -0.55z = 100 + -0.55z Combine like terms: 0.55z + -0.55z = 0.00 3.3y + 0.00 = 100 + -0.55z 3.3y = 100 + -0.55z Divide each side by '3.3'. y = 30.3030303 + -0.1666666667z Simplifying y = 30.3030303 + -0.1666666667z
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