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Simplifying 0.02(y + -2) + 0.10y = 0.20y + -0.5 Reorder the terms: 0.02(-2 + y) + 0.10y = 0.20y + -0.5 (-2 * 0.02 + y * 0.02) + 0.10y = 0.20y + -0.5 (-0.04 + 0.02y) + 0.10y = 0.20y + -0.5 Combine like terms: 0.02y + 0.10y = 0.12y -0.04 + 0.12y = 0.20y + -0.5 Reorder the terms: -0.04 + 0.12y = -0.5 + 0.20y Solving -0.04 + 0.12y = -0.5 + 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. -0.04 + 0.12y + -0.20y = -0.5 + 0.20y + -0.20y Combine like terms: 0.12y + -0.20y = -0.08y -0.04 + -0.08y = -0.5 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.04 + -0.08y = -0.5 + 0.00 -0.04 + -0.08y = -0.5 Add '0.04' to each side of the equation. -0.04 + 0.04 + -0.08y = -0.5 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + -0.08y = -0.5 + 0.04 -0.08y = -0.5 + 0.04 Combine like terms: -0.5 + 0.04 = -0.46 -0.08y = -0.46 Divide each side by '-0.08'. y = 5.75 Simplifying y = 5.75
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