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Simplifying 0.08(y + -5) + 0.18y = 0.010y + -0.03(20) Reorder the terms: 0.08(-5 + y) + 0.18y = 0.010y + -0.03(20) (-5 * 0.08 + y * 0.08) + 0.18y = 0.010y + -0.03(20) (-0.4 + 0.08y) + 0.18y = 0.010y + -0.03(20) Combine like terms: 0.08y + 0.18y = 0.26y -0.4 + 0.26y = 0.010y + -0.03(20) Multiply -0.03 * 20 -0.4 + 0.26y = 0.010y + -0.6 Reorder the terms: -0.4 + 0.26y = -0.6 + 0.010y Solving -0.4 + 0.26y = -0.6 + 0.010y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.010y' to each side of the equation. -0.4 + 0.26y + -0.010y = -0.6 + 0.010y + -0.010y Combine like terms: 0.26y + -0.010y = 0.25y -0.4 + 0.25y = -0.6 + 0.010y + -0.010y Combine like terms: 0.010y + -0.010y = 0.000 -0.4 + 0.25y = -0.6 + 0.000 -0.4 + 0.25y = -0.6 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.25y = -0.6 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.25y = -0.6 + 0.4 0.25y = -0.6 + 0.4 Combine like terms: -0.6 + 0.4 = -0.2 0.25y = -0.2 Divide each side by '0.25'. y = -0.8 Simplifying y = -0.8
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