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Simplifying 0.04(y + -5) + 0.06y = 0.12y + -0.01(30) Reorder the terms: 0.04(-5 + y) + 0.06y = 0.12y + -0.01(30) (-5 * 0.04 + y * 0.04) + 0.06y = 0.12y + -0.01(30) (-0.2 + 0.04y) + 0.06y = 0.12y + -0.01(30) Combine like terms: 0.04y + 0.06y = 0.1y -0.2 + 0.1y = 0.12y + -0.01(30) Multiply -0.01 * 30 -0.2 + 0.1y = 0.12y + -0.3 Reorder the terms: -0.2 + 0.1y = -0.3 + 0.12y Solving -0.2 + 0.1y = -0.3 + 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. -0.2 + 0.1y + -0.12y = -0.3 + 0.12y + -0.12y Combine like terms: 0.1y + -0.12y = -0.02y -0.2 + -0.02y = -0.3 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.2 + -0.02y = -0.3 + 0.00 -0.2 + -0.02y = -0.3 Add '0.2' to each side of the equation. -0.2 + 0.2 + -0.02y = -0.3 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -0.02y = -0.3 + 0.2 -0.02y = -0.3 + 0.2 Combine like terms: -0.3 + 0.2 = -0.1 -0.02y = -0.1 Divide each side by '-0.02'. y = 5 Simplifying y = 5
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