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Simplifying 0.04(y + -6) + 0.10y = 0.12y + -0.01(20) Reorder the terms: 0.04(-6 + y) + 0.10y = 0.12y + -0.01(20) (-6 * 0.04 + y * 0.04) + 0.10y = 0.12y + -0.01(20) (-0.24 + 0.04y) + 0.10y = 0.12y + -0.01(20) Combine like terms: 0.04y + 0.10y = 0.14y -0.24 + 0.14y = 0.12y + -0.01(20) Multiply -0.01 * 20 -0.24 + 0.14y = 0.12y + -0.2 Reorder the terms: -0.24 + 0.14y = -0.2 + 0.12y Solving -0.24 + 0.14y = -0.2 + 0.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12y' to each side of the equation. -0.24 + 0.14y + -0.12y = -0.2 + 0.12y + -0.12y Combine like terms: 0.14y + -0.12y = 0.02y -0.24 + 0.02y = -0.2 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.24 + 0.02y = -0.2 + 0.00 -0.24 + 0.02y = -0.2 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.02y = -0.2 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.02y = -0.2 + 0.24 0.02y = -0.2 + 0.24 Combine like terms: -0.2 + 0.24 = 0.04 0.02y = 0.04 Divide each side by '0.02'. y = 2 Simplifying y = 2
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