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Simplifying 5y + -1(-0.3 + 6) = 0.9 + -0.5y Combine like terms: -0.3 + 6 = 5.7 5y + -1(5.7) = 0.9 + -0.5y Multiply -1 * 5.7 5y + -5.7 = 0.9 + -0.5y Reorder the terms: -5.7 + 5y = 0.9 + -0.5y Solving -5.7 + 5y = 0.9 + -0.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.5y' to each side of the equation. -5.7 + 5y + 0.5y = 0.9 + -0.5y + 0.5y Combine like terms: 5y + 0.5y = 5.5y -5.7 + 5.5y = 0.9 + -0.5y + 0.5y Combine like terms: -0.5y + 0.5y = 0.0 -5.7 + 5.5y = 0.9 + 0.0 -5.7 + 5.5y = 0.9 Add '5.7' to each side of the equation. -5.7 + 5.7 + 5.5y = 0.9 + 5.7 Combine like terms: -5.7 + 5.7 = 0.0 0.0 + 5.5y = 0.9 + 5.7 5.5y = 0.9 + 5.7 Combine like terms: 0.9 + 5.7 = 6.6 5.5y = 6.6 Divide each side by '5.5'. y = 1.2 Simplifying y = 1.2
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