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Simplifying 0.02(50) + 0.12y = 0.04(50 + y) Multiply 0.02 * 50 1 + 0.12y = 0.04(50 + y) 1 + 0.12y = (50 * 0.04 + y * 0.04) 1 + 0.12y = (2 + 0.04y) Solving 1 + 0.12y = 2 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. 1 + 0.12y + -0.04y = 2 + 0.04y + -0.04y Combine like terms: 0.12y + -0.04y = 0.08y 1 + 0.08y = 2 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 1 + 0.08y = 2 + 0.00 1 + 0.08y = 2 Add '-1' to each side of the equation. 1 + -1 + 0.08y = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 0.08y = 2 + -1 0.08y = 2 + -1 Combine like terms: 2 + -1 = 1 0.08y = 1 Divide each side by '0.08'. y = 12.5 Simplifying y = 12.5
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