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Simplifying 0.08(y + -3) + 0.18y = 0.06y + -0.07(20) Reorder the terms: 0.08(-3 + y) + 0.18y = 0.06y + -0.07(20) (-3 * 0.08 + y * 0.08) + 0.18y = 0.06y + -0.07(20) (-0.24 + 0.08y) + 0.18y = 0.06y + -0.07(20) Combine like terms: 0.08y + 0.18y = 0.26y -0.24 + 0.26y = 0.06y + -0.07(20) Multiply -0.07 * 20 -0.24 + 0.26y = 0.06y + -1.4 Reorder the terms: -0.24 + 0.26y = -1.4 + 0.06y Solving -0.24 + 0.26y = -1.4 + 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. -0.24 + 0.26y + -0.06y = -1.4 + 0.06y + -0.06y Combine like terms: 0.26y + -0.06y = 0.2y -0.24 + 0.2y = -1.4 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.24 + 0.2y = -1.4 + 0.00 -0.24 + 0.2y = -1.4 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.2y = -1.4 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.2y = -1.4 + 0.24 0.2y = -1.4 + 0.24 Combine like terms: -1.4 + 0.24 = -1.16 0.2y = -1.16 Divide each side by '0.2'. y = -5.8 Simplifying y = -5.8
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