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Simplifying 0.04(y + -6) + 0.10y = 0.02y + -0.03(10) Reorder the terms: 0.04(-6 + y) + 0.10y = 0.02y + -0.03(10) (-6 * 0.04 + y * 0.04) + 0.10y = 0.02y + -0.03(10) (-0.24 + 0.04y) + 0.10y = 0.02y + -0.03(10) Combine like terms: 0.04y + 0.10y = 0.14y -0.24 + 0.14y = 0.02y + -0.03(10) Multiply -0.03 * 10 -0.24 + 0.14y = 0.02y + -0.3 Reorder the terms: -0.24 + 0.14y = -0.3 + 0.02y Solving -0.24 + 0.14y = -0.3 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.24 + 0.14y + -0.02y = -0.3 + 0.02y + -0.02y Combine like terms: 0.14y + -0.02y = 0.12y -0.24 + 0.12y = -0.3 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.24 + 0.12y = -0.3 + 0.00 -0.24 + 0.12y = -0.3 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.12y = -0.3 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.12y = -0.3 + 0.24 0.12y = -0.3 + 0.24 Combine like terms: -0.3 + 0.24 = -0.06 0.12y = -0.06 Divide each side by '0.12'. y = -0.5 Simplifying y = -0.5
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