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Simplifying 0.06(y + -5) + 0.20y = 0.10y + -0.01(10) Reorder the terms: 0.06(-5 + y) + 0.20y = 0.10y + -0.01(10) (-5 * 0.06 + y * 0.06) + 0.20y = 0.10y + -0.01(10) (-0.3 + 0.06y) + 0.20y = 0.10y + -0.01(10) Combine like terms: 0.06y + 0.20y = 0.26y -0.3 + 0.26y = 0.10y + -0.01(10) Multiply -0.01 * 10 -0.3 + 0.26y = 0.10y + -0.1 Reorder the terms: -0.3 + 0.26y = -0.1 + 0.10y Solving -0.3 + 0.26y = -0.1 + 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. -0.3 + 0.26y + -0.10y = -0.1 + 0.10y + -0.10y Combine like terms: 0.26y + -0.10y = 0.16y -0.3 + 0.16y = -0.1 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.3 + 0.16y = -0.1 + 0.00 -0.3 + 0.16y = -0.1 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.16y = -0.1 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.16y = -0.1 + 0.3 0.16y = -0.1 + 0.3 Combine like terms: -0.1 + 0.3 = 0.2 0.16y = 0.2 Divide each side by '0.16'. y = 1.25 Simplifying y = 1.25
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