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Simplifying -6r + 250 = -100 + 0.2(y + -0.25y) Reorder the terms: 250 + -6r = -100 + 0.2(y + -0.25y) Combine like terms: y + -0.25y = 0.75y 250 + -6r = -100 + 0.2(0.75y) Remove parenthesis around (0.75y) 250 + -6r = -100 + 0.2 * 0.75y Multiply 0.2 * 0.75 250 + -6r = -100 + 0.15y Solving 250 + -6r = -100 + 0.15y Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-250' to each side of the equation. 250 + -250 + -6r = -100 + -250 + 0.15y Combine like terms: 250 + -250 = 0 0 + -6r = -100 + -250 + 0.15y -6r = -100 + -250 + 0.15y Combine like terms: -100 + -250 = -350 -6r = -350 + 0.15y Divide each side by '-6'. r = 58.33333333 + -0.025y Simplifying r = 58.33333333 + -0.025y
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