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Simplifying 0.20(y + -1) + 0.10y = 0.14y + -0.6 Reorder the terms: 0.20(-1 + y) + 0.10y = 0.14y + -0.6 (-1 * 0.20 + y * 0.20) + 0.10y = 0.14y + -0.6 (-0.2 + 0.20y) + 0.10y = 0.14y + -0.6 Combine like terms: 0.20y + 0.10y = 0.3y -0.2 + 0.3y = 0.14y + -0.6 Reorder the terms: -0.2 + 0.3y = -0.6 + 0.14y Solving -0.2 + 0.3y = -0.6 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.2 + 0.3y + -0.14y = -0.6 + 0.14y + -0.14y Combine like terms: 0.3y + -0.14y = 0.16y -0.2 + 0.16y = -0.6 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.2 + 0.16y = -0.6 + 0.00 -0.2 + 0.16y = -0.6 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.16y = -0.6 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.16y = -0.6 + 0.2 0.16y = -0.6 + 0.2 Combine like terms: -0.6 + 0.2 = -0.4 0.16y = -0.4 Divide each side by '0.16'. y = -2.5 Simplifying y = -2.5
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