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Simplifying 0.08(y + -7) + 0.18y = 0.02y + 1.4 Reorder the terms: 0.08(-7 + y) + 0.18y = 0.02y + 1.4 (-7 * 0.08 + y * 0.08) + 0.18y = 0.02y + 1.4 (-0.56 + 0.08y) + 0.18y = 0.02y + 1.4 Combine like terms: 0.08y + 0.18y = 0.26y -0.56 + 0.26y = 0.02y + 1.4 Reorder the terms: -0.56 + 0.26y = 1.4 + 0.02y Solving -0.56 + 0.26y = 1.4 + 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. -0.56 + 0.26y + -0.02y = 1.4 + 0.02y + -0.02y Combine like terms: 0.26y + -0.02y = 0.24y -0.56 + 0.24y = 1.4 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.56 + 0.24y = 1.4 + 0.00 -0.56 + 0.24y = 1.4 Add '0.56' to each side of the equation. -0.56 + 0.56 + 0.24y = 1.4 + 0.56 Combine like terms: -0.56 + 0.56 = 0.00 0.00 + 0.24y = 1.4 + 0.56 0.24y = 1.4 + 0.56 Combine like terms: 1.4 + 0.56 = 1.96 0.24y = 1.96 Divide each side by '0.24'. y = 8.166666667 Simplifying y = 8.166666667
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