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Simplifying 0.08(y + -6) + 0.18y = 0.02y + -0.03(50) Reorder the terms: 0.08(-6 + y) + 0.18y = 0.02y + -0.03(50) (-6 * 0.08 + y * 0.08) + 0.18y = 0.02y + -0.03(50) (-0.48 + 0.08y) + 0.18y = 0.02y + -0.03(50) Combine like terms: 0.08y + 0.18y = 0.26y -0.48 + 0.26y = 0.02y + -0.03(50) Multiply -0.03 * 50 -0.48 + 0.26y = 0.02y + -1.5 Reorder the terms: -0.48 + 0.26y = -1.5 + 0.02y Solving -0.48 + 0.26y = -1.5 + 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. -0.48 + 0.26y + -0.02y = -1.5 + 0.02y + -0.02y Combine like terms: 0.26y + -0.02y = 0.24y -0.48 + 0.24y = -1.5 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.48 + 0.24y = -1.5 + 0.00 -0.48 + 0.24y = -1.5 Add '0.48' to each side of the equation. -0.48 + 0.48 + 0.24y = -1.5 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + 0.24y = -1.5 + 0.48 0.24y = -1.5 + 0.48 Combine like terms: -1.5 + 0.48 = -1.02 0.24y = -1.02 Divide each side by '0.24'. y = -4.25 Simplifying y = -4.25
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