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Simplifying 0.17(y + -7) + 0.10y = 0.02y + -0.3 Reorder the terms: 0.17(-7 + y) + 0.10y = 0.02y + -0.3 (-7 * 0.17 + y * 0.17) + 0.10y = 0.02y + -0.3 (-1.19 + 0.17y) + 0.10y = 0.02y + -0.3 Combine like terms: 0.17y + 0.10y = 0.27y -1.19 + 0.27y = 0.02y + -0.3 Reorder the terms: -1.19 + 0.27y = -0.3 + 0.02y Solving -1.19 + 0.27y = -0.3 + 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. -1.19 + 0.27y + -0.02y = -0.3 + 0.02y + -0.02y Combine like terms: 0.27y + -0.02y = 0.25y -1.19 + 0.25y = -0.3 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -1.19 + 0.25y = -0.3 + 0.00 -1.19 + 0.25y = -0.3 Add '1.19' to each side of the equation. -1.19 + 1.19 + 0.25y = -0.3 + 1.19 Combine like terms: -1.19 + 1.19 = 0.00 0.00 + 0.25y = -0.3 + 1.19 0.25y = -0.3 + 1.19 Combine like terms: -0.3 + 1.19 = 0.89 0.25y = 0.89 Divide each side by '0.25'. y = 3.56 Simplifying y = 3.56
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