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Simplifying 0.08(y + -5) + 0.18y = 0.02y + -0.07(40) Reorder the terms: 0.08(-5 + y) + 0.18y = 0.02y + -0.07(40) (-5 * 0.08 + y * 0.08) + 0.18y = 0.02y + -0.07(40) (-0.4 + 0.08y) + 0.18y = 0.02y + -0.07(40) Combine like terms: 0.08y + 0.18y = 0.26y -0.4 + 0.26y = 0.02y + -0.07(40) Multiply -0.07 * 40 -0.4 + 0.26y = 0.02y + -2.8 Reorder the terms: -0.4 + 0.26y = -2.8 + 0.02y Solving -0.4 + 0.26y = -2.8 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.4 + 0.26y + -0.02y = -2.8 + 0.02y + -0.02y Combine like terms: 0.26y + -0.02y = 0.24y -0.4 + 0.24y = -2.8 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.4 + 0.24y = -2.8 + 0.00 -0.4 + 0.24y = -2.8 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.24y = -2.8 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.24y = -2.8 + 0.4 0.24y = -2.8 + 0.4 Combine like terms: -2.8 + 0.4 = -2.4 0.24y = -2.4 Divide each side by '0.24'. y = -10 Simplifying y = -10
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