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Simplifying 0.5(y + -20) + 0.06y = 0.1y + -0.05(40) Reorder the terms: 0.5(-20 + y) + 0.06y = 0.1y + -0.05(40) (-20 * 0.5 + y * 0.5) + 0.06y = 0.1y + -0.05(40) (-10 + 0.5y) + 0.06y = 0.1y + -0.05(40) Combine like terms: 0.5y + 0.06y = 0.56y -10 + 0.56y = 0.1y + -0.05(40) Multiply -0.05 * 40 -10 + 0.56y = 0.1y + -2 Reorder the terms: -10 + 0.56y = -2 + 0.1y Solving -10 + 0.56y = -2 + 0.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.1y' to each side of the equation. -10 + 0.56y + -0.1y = -2 + 0.1y + -0.1y Combine like terms: 0.56y + -0.1y = 0.46y -10 + 0.46y = -2 + 0.1y + -0.1y Combine like terms: 0.1y + -0.1y = 0.0 -10 + 0.46y = -2 + 0.0 -10 + 0.46y = -2 Add '10' to each side of the equation. -10 + 10 + 0.46y = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 0.46y = -2 + 10 0.46y = -2 + 10 Combine like terms: -2 + 10 = 8 0.46y = 8 Divide each side by '0.46'. y = 17.39130435 Simplifying y = 17.39130435
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