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Simplifying 43.50 = 6(5.9 + -0.5y) + 6y 43.50 = (5.9 * 6 + -0.5y * 6) + 6y 43.50 = (35.4 + -3y) + 6y Combine like terms: -3y + 6y = 3y 43.50 = 35.4 + 3y Solving 43.50 = 35.4 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 43.50 + -3y = 35.4 + 3y + -3y Combine like terms: 3y + -3y = 0 43.50 + -3y = 35.4 + 0 43.50 + -3y = 35.4 Add '-43.50' to each side of the equation. 43.50 + -43.50 + -3y = 35.4 + -43.50 Combine like terms: 43.50 + -43.50 = 0.00 0.00 + -3y = 35.4 + -43.50 -3y = 35.4 + -43.50 Combine like terms: 35.4 + -43.50 = -8.1 -3y = -8.1 Divide each side by '-3'. y = 2.7 Simplifying y = 2.7
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