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Simplifying 0.06(y + -4) + 0.12y = 0.20y + -0.3 Reorder the terms: 0.06(-4 + y) + 0.12y = 0.20y + -0.3 (-4 * 0.06 + y * 0.06) + 0.12y = 0.20y + -0.3 (-0.24 + 0.06y) + 0.12y = 0.20y + -0.3 Combine like terms: 0.06y + 0.12y = 0.18y -0.24 + 0.18y = 0.20y + -0.3 Reorder the terms: -0.24 + 0.18y = -0.3 + 0.20y Solving -0.24 + 0.18y = -0.3 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.24 + 0.18y + -0.20y = -0.3 + 0.20y + -0.20y Combine like terms: 0.18y + -0.20y = -0.02y -0.24 + -0.02y = -0.3 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.24 + -0.02y = -0.3 + 0.00 -0.24 + -0.02y = -0.3 Add '0.24' to each side of the equation. -0.24 + 0.24 + -0.02y = -0.3 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + -0.02y = -0.3 + 0.24 -0.02y = -0.3 + 0.24 Combine like terms: -0.3 + 0.24 = -0.06 -0.02y = -0.06 Divide each side by '-0.02'. y = 3 Simplifying y = 3
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