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Simplifying 0.08(y + -8) + 0.04y = 0.02y + -0.9 Reorder the terms: 0.08(-8 + y) + 0.04y = 0.02y + -0.9 (-8 * 0.08 + y * 0.08) + 0.04y = 0.02y + -0.9 (-0.64 + 0.08y) + 0.04y = 0.02y + -0.9 Combine like terms: 0.08y + 0.04y = 0.12y -0.64 + 0.12y = 0.02y + -0.9 Reorder the terms: -0.64 + 0.12y = -0.9 + 0.02y Solving -0.64 + 0.12y = -0.9 + 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. -0.64 + 0.12y + -0.02y = -0.9 + 0.02y + -0.02y Combine like terms: 0.12y + -0.02y = 0.1y -0.64 + 0.1y = -0.9 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.64 + 0.1y = -0.9 + 0.00 -0.64 + 0.1y = -0.9 Add '0.64' to each side of the equation. -0.64 + 0.64 + 0.1y = -0.9 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.00 + 0.1y = -0.9 + 0.64 0.1y = -0.9 + 0.64 Combine like terms: -0.9 + 0.64 = -0.26 0.1y = -0.26 Divide each side by '0.1'. y = -2.6 Simplifying y = -2.6
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