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Simplifying 0.05(y + -10 + 0.15y) = 0.10y + -0.03(50) Reorder the terms: 0.05(-10 + y + 0.15y) = 0.10y + -0.03(50) Combine like terms: y + 0.15y = 1.15y 0.05(-10 + 1.15y) = 0.10y + -0.03(50) (-10 * 0.05 + 1.15y * 0.05) = 0.10y + -0.03(50) (-0.5 + 0.0575y) = 0.10y + -0.03(50) Multiply -0.03 * 50 -0.5 + 0.0575y = 0.10y + -1.5 Reorder the terms: -0.5 + 0.0575y = -1.5 + 0.10y Solving -0.5 + 0.0575y = -1.5 + 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. -0.5 + 0.0575y + -0.10y = -1.5 + 0.10y + -0.10y Combine like terms: 0.0575y + -0.10y = -0.0425y -0.5 + -0.0425y = -1.5 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.5 + -0.0425y = -1.5 + 0.00 -0.5 + -0.0425y = -1.5 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.0425y = -1.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.0425y = -1.5 + 0.5 -0.0425y = -1.5 + 0.5 Combine like terms: -1.5 + 0.5 = -1 -0.0425y = -1 Divide each side by '-0.0425'. y = 23.52941176 Simplifying y = 23.52941176
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