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Simplifying 0.02(y + -2) + 0.18y = 0.10y + -0.6 Reorder the terms: 0.02(-2 + y) + 0.18y = 0.10y + -0.6 (-2 * 0.02 + y * 0.02) + 0.18y = 0.10y + -0.6 (-0.04 + 0.02y) + 0.18y = 0.10y + -0.6 Combine like terms: 0.02y + 0.18y = 0.2y -0.04 + 0.2y = 0.10y + -0.6 Reorder the terms: -0.04 + 0.2y = -0.6 + 0.10y Solving -0.04 + 0.2y = -0.6 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.04 + 0.2y + -0.10y = -0.6 + 0.10y + -0.10y Combine like terms: 0.2y + -0.10y = 0.1y -0.04 + 0.1y = -0.6 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.04 + 0.1y = -0.6 + 0.00 -0.04 + 0.1y = -0.6 Add '0.04' to each side of the equation. -0.04 + 0.04 + 0.1y = -0.6 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 0.1y = -0.6 + 0.04 0.1y = -0.6 + 0.04 Combine like terms: -0.6 + 0.04 = -0.56 0.1y = -0.56 Divide each side by '0.1'. y = -5.6 Simplifying y = -5.6
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