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Simplifying 0.20(y + -3) + 0.14y = 0.18y + -2 Reorder the terms: 0.20(-3 + y) + 0.14y = 0.18y + -2 (-3 * 0.20 + y * 0.20) + 0.14y = 0.18y + -2 (-0.6 + 0.20y) + 0.14y = 0.18y + -2 Combine like terms: 0.20y + 0.14y = 0.34y -0.6 + 0.34y = 0.18y + -2 Reorder the terms: -0.6 + 0.34y = -2 + 0.18y Solving -0.6 + 0.34y = -2 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -0.6 + 0.34y + -0.18y = -2 + 0.18y + -0.18y Combine like terms: 0.34y + -0.18y = 0.16y -0.6 + 0.16y = -2 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.6 + 0.16y = -2 + 0.00 -0.6 + 0.16y = -2 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.16y = -2 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.16y = -2 + 0.6 0.16y = -2 + 0.6 Combine like terms: -2 + 0.6 = -1.4 0.16y = -1.4 Divide each side by '0.16'. y = -8.75 Simplifying y = -8.75
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