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Simplifying 0.05(y + -7) + 0.50y = 0.05y + -0.20 Reorder the terms: 0.05(-7 + y) + 0.50y = 0.05y + -0.20 (-7 * 0.05 + y * 0.05) + 0.50y = 0.05y + -0.20 (-0.35 + 0.05y) + 0.50y = 0.05y + -0.20 Combine like terms: 0.05y + 0.50y = 0.55y -0.35 + 0.55y = 0.05y + -0.20 Reorder the terms: -0.35 + 0.55y = -0.20 + 0.05y Solving -0.35 + 0.55y = -0.20 + 0.05y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.05y' to each side of the equation. -0.35 + 0.55y + -0.05y = -0.20 + 0.05y + -0.05y Combine like terms: 0.55y + -0.05y = 0.5y -0.35 + 0.5y = -0.20 + 0.05y + -0.05y Combine like terms: 0.05y + -0.05y = 0.00 -0.35 + 0.5y = -0.20 + 0.00 -0.35 + 0.5y = -0.20 Add '0.35' to each side of the equation. -0.35 + 0.35 + 0.5y = -0.20 + 0.35 Combine like terms: -0.35 + 0.35 = 0.00 0.00 + 0.5y = -0.20 + 0.35 0.5y = -0.20 + 0.35 Combine like terms: -0.20 + 0.35 = 0.15 0.5y = 0.15 Divide each side by '0.5'. y = 0.3 Simplifying y = 0.3
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