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Simplifying 0.45(70) + 0.05y = 0.10(70 + y) Multiply 0.45 * 70 31.5 + 0.05y = 0.10(70 + y) 31.5 + 0.05y = (70 * 0.10 + y * 0.10) 31.5 + 0.05y = (7 + 0.10y) Solving 31.5 + 0.05y = 7 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. 31.5 + 0.05y + -0.10y = 7 + 0.10y + -0.10y Combine like terms: 0.05y + -0.10y = -0.05y 31.5 + -0.05y = 7 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 31.5 + -0.05y = 7 + 0.00 31.5 + -0.05y = 7 Add '-31.5' to each side of the equation. 31.5 + -31.5 + -0.05y = 7 + -31.5 Combine like terms: 31.5 + -31.5 = 0.0 0.0 + -0.05y = 7 + -31.5 -0.05y = 7 + -31.5 Combine like terms: 7 + -31.5 = -24.5 -0.05y = -24.5 Divide each side by '-0.05'. y = 490 Simplifying y = 490
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