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Simplifying 0.03(15y + -20) = 0.7(5y + 60) Reorder the terms: 0.03(-20 + 15y) = 0.7(5y + 60) (-20 * 0.03 + 15y * 0.03) = 0.7(5y + 60) (-0.6 + 0.45y) = 0.7(5y + 60) Reorder the terms: -0.6 + 0.45y = 0.7(60 + 5y) -0.6 + 0.45y = (60 * 0.7 + 5y * 0.7) -0.6 + 0.45y = (42 + 3.5y) Solving -0.6 + 0.45y = 42 + 3.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3.5y' to each side of the equation. -0.6 + 0.45y + -3.5y = 42 + 3.5y + -3.5y Combine like terms: 0.45y + -3.5y = -3.05y -0.6 + -3.05y = 42 + 3.5y + -3.5y Combine like terms: 3.5y + -3.5y = 0.0 -0.6 + -3.05y = 42 + 0.0 -0.6 + -3.05y = 42 Add '0.6' to each side of the equation. -0.6 + 0.6 + -3.05y = 42 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -3.05y = 42 + 0.6 -3.05y = 42 + 0.6 Combine like terms: 42 + 0.6 = 42.6 -3.05y = 42.6 Divide each side by '-3.05'. y = -13.96721311 Simplifying y = -13.96721311
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