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Simplifying 0.08(y + -3) + 0.20 = 0.12y + -0.4 Reorder the terms: 0.08(-3 + y) + 0.20 = 0.12y + -0.4 (-3 * 0.08 + y * 0.08) + 0.20 = 0.12y + -0.4 (-0.24 + 0.08y) + 0.20 = 0.12y + -0.4 Reorder the terms: -0.24 + 0.20 + 0.08y = 0.12y + -0.4 Combine like terms: -0.24 + 0.20 = -0.04 -0.04 + 0.08y = 0.12y + -0.4 Reorder the terms: -0.04 + 0.08y = -0.4 + 0.12y Solving -0.04 + 0.08y = -0.4 + 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. -0.04 + 0.08y + -0.12y = -0.4 + 0.12y + -0.12y Combine like terms: 0.08y + -0.12y = -0.04y -0.04 + -0.04y = -0.4 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.04 + -0.04y = -0.4 + 0.00 -0.04 + -0.04y = -0.4 Add '0.04' to each side of the equation. -0.04 + 0.04 + -0.04y = -0.4 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + -0.04y = -0.4 + 0.04 -0.04y = -0.4 + 0.04 Combine like terms: -0.4 + 0.04 = -0.36 -0.04y = -0.36 Divide each side by '-0.04'. y = 9 Simplifying y = 9
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