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Simplifying 0.14(y + -2) + 0.20y = 0.06y + -0.01(70) Reorder the terms: 0.14(-2 + y) + 0.20y = 0.06y + -0.01(70) (-2 * 0.14 + y * 0.14) + 0.20y = 0.06y + -0.01(70) (-0.28 + 0.14y) + 0.20y = 0.06y + -0.01(70) Combine like terms: 0.14y + 0.20y = 0.34y -0.28 + 0.34y = 0.06y + -0.01(70) Multiply -0.01 * 70 -0.28 + 0.34y = 0.06y + -0.7 Reorder the terms: -0.28 + 0.34y = -0.7 + 0.06y Solving -0.28 + 0.34y = -0.7 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.28 + 0.34y + -0.06y = -0.7 + 0.06y + -0.06y Combine like terms: 0.34y + -0.06y = 0.28y -0.28 + 0.28y = -0.7 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.28 + 0.28y = -0.7 + 0.00 -0.28 + 0.28y = -0.7 Add '0.28' to each side of the equation. -0.28 + 0.28 + 0.28y = -0.7 + 0.28 Combine like terms: -0.28 + 0.28 = 0.00 0.00 + 0.28y = -0.7 + 0.28 0.28y = -0.7 + 0.28 Combine like terms: -0.7 + 0.28 = -0.42 0.28y = -0.42 Divide each side by '0.28'. y = -1.5 Simplifying y = -1.5
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