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Simplifying 0.05(y + -300) = 105 + -0.1y Reorder the terms: 0.05(-300 + y) = 105 + -0.1y (-300 * 0.05 + y * 0.05) = 105 + -0.1y (-15 + 0.05y) = 105 + -0.1y Solving -15 + 0.05y = 105 + -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. -15 + 0.05y + 0.1y = 105 + -0.1y + 0.1y Combine like terms: 0.05y + 0.1y = 0.15y -15 + 0.15y = 105 + -0.1y + 0.1y Combine like terms: -0.1y + 0.1y = 0.0 -15 + 0.15y = 105 + 0.0 -15 + 0.15y = 105 Add '15' to each side of the equation. -15 + 15 + 0.15y = 105 + 15 Combine like terms: -15 + 15 = 0 0 + 0.15y = 105 + 15 0.15y = 105 + 15 Combine like terms: 105 + 15 = 120 0.15y = 120 Divide each side by '0.15'. y = 800 Simplifying y = 800
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