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Simplifying 6(7.7 + 0.1y) + -5y = 33 (7.7 * 6 + 0.1y * 6) + -5y = 33 (46.2 + 0.6y) + -5y = 33 Combine like terms: 0.6y + -5y = -4.4y 46.2 + -4.4y = 33 Solving 46.2 + -4.4y = 33 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-46.2' to each side of the equation. 46.2 + -46.2 + -4.4y = 33 + -46.2 Combine like terms: 46.2 + -46.2 = 0.0 0.0 + -4.4y = 33 + -46.2 -4.4y = 33 + -46.2 Combine like terms: 33 + -46.2 = -13.2 -4.4y = -13.2 Divide each side by '-4.4'. y = 3 Simplifying y = 3
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