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Simplifying 0.08(y + -2) + 0.18y = 0.4y + -0.6 Reorder the terms: 0.08(-2 + y) + 0.18y = 0.4y + -0.6 (-2 * 0.08 + y * 0.08) + 0.18y = 0.4y + -0.6 (-0.16 + 0.08y) + 0.18y = 0.4y + -0.6 Combine like terms: 0.08y + 0.18y = 0.26y -0.16 + 0.26y = 0.4y + -0.6 Reorder the terms: -0.16 + 0.26y = -0.6 + 0.4y Solving -0.16 + 0.26y = -0.6 + 0.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.4y' to each side of the equation. -0.16 + 0.26y + -0.4y = -0.6 + 0.4y + -0.4y Combine like terms: 0.26y + -0.4y = -0.14y -0.16 + -0.14y = -0.6 + 0.4y + -0.4y Combine like terms: 0.4y + -0.4y = 0.0 -0.16 + -0.14y = -0.6 + 0.0 -0.16 + -0.14y = -0.6 Add '0.16' to each side of the equation. -0.16 + 0.16 + -0.14y = -0.6 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + -0.14y = -0.6 + 0.16 -0.14y = -0.6 + 0.16 Combine like terms: -0.6 + 0.16 = -0.44 -0.14y = -0.44 Divide each side by '-0.14'. y = 3.142857143 Simplifying y = 3.142857143
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