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Simplifying 0.20(y + -4) + 0.14y = 0.18y + -0.09 + -1(20) Reorder the terms: 0.20(-4 + y) + 0.14y = 0.18y + -0.09 + -1(20) (-4 * 0.20 + y * 0.20) + 0.14y = 0.18y + -0.09 + -1(20) (-0.8 + 0.20y) + 0.14y = 0.18y + -0.09 + -1(20) Combine like terms: 0.20y + 0.14y = 0.34y -0.8 + 0.34y = 0.18y + -0.09 + -1(20) Multiply -1 * 20 -0.8 + 0.34y = 0.18y + -0.09 + -20 Reorder the terms: -0.8 + 0.34y = -0.09 + -20 + 0.18y Combine like terms: -0.09 + -20 = -20.09 -0.8 + 0.34y = -20.09 + 0.18y Solving -0.8 + 0.34y = -20.09 + 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. -0.8 + 0.34y + -0.18y = -20.09 + 0.18y + -0.18y Combine like terms: 0.34y + -0.18y = 0.16y -0.8 + 0.16y = -20.09 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.8 + 0.16y = -20.09 + 0.00 -0.8 + 0.16y = -20.09 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.16y = -20.09 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.16y = -20.09 + 0.8 0.16y = -20.09 + 0.8 Combine like terms: -20.09 + 0.8 = -19.29 0.16y = -19.29 Divide each side by '0.16'. y = -120.5625 Simplifying y = -120.5625
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