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Simplifying 0.5(y + -30) + (y + -30) = 0 Reorder the terms: 0.5(-30 + y) + (y + -30) = 0 (-30 * 0.5 + y * 0.5) + (y + -30) = 0 (-15 + 0.5y) + (y + -30) = 0 Reorder the terms: -15 + 0.5y + (-30 + y) = 0 Remove parenthesis around (-30 + y) -15 + 0.5y + -30 + y = 0 Reorder the terms: -15 + -30 + 0.5y + y = 0 Combine like terms: -15 + -30 = -45 -45 + 0.5y + y = 0 Combine like terms: 0.5y + y = 1.5y -45 + 1.5y = 0 Solving -45 + 1.5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 1.5y = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 1.5y = 0 + 45 1.5y = 0 + 45 Combine like terms: 0 + 45 = 45 1.5y = 45 Divide each side by '1.5'. y = 30 Simplifying y = 30
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