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Simplifying 18(y + -7) + 0.02y = 0.10y + -0.05(10) Reorder the terms: 18(-7 + y) + 0.02y = 0.10y + -0.05(10) (-7 * 18 + y * 18) + 0.02y = 0.10y + -0.05(10) (-126 + 18y) + 0.02y = 0.10y + -0.05(10) Combine like terms: 18y + 0.02y = 18.02y -126 + 18.02y = 0.10y + -0.05(10) Multiply -0.05 * 10 -126 + 18.02y = 0.10y + -0.5 Reorder the terms: -126 + 18.02y = -0.5 + 0.10y Solving -126 + 18.02y = -0.5 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -126 + 18.02y + -0.10y = -0.5 + 0.10y + -0.10y Combine like terms: 18.02y + -0.10y = 17.92y -126 + 17.92y = -0.5 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -126 + 17.92y = -0.5 + 0.00 -126 + 17.92y = -0.5 Add '126' to each side of the equation. -126 + 126 + 17.92y = -0.5 + 126 Combine like terms: -126 + 126 = 0 0 + 17.92y = -0.5 + 126 17.92y = -0.5 + 126 Combine like terms: -0.5 + 126 = 125.5 17.92y = 125.5 Divide each side by '17.92'. y = 7.003348214 Simplifying y = 7.003348214
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