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Simplifying 4(y + 9) = 6(8.5 + -1y) Reorder the terms: 4(9 + y) = 6(8.5 + -1y) (9 * 4 + y * 4) = 6(8.5 + -1y) (36 + 4y) = 6(8.5 + -1y) 36 + 4y = (8.5 * 6 + -1y * 6) 36 + 4y = (51 + -6y) Solving 36 + 4y = 51 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 36 + 4y + 6y = 51 + -6y + 6y Combine like terms: 4y + 6y = 10y 36 + 10y = 51 + -6y + 6y Combine like terms: -6y + 6y = 0 36 + 10y = 51 + 0 36 + 10y = 51 Add '-36' to each side of the equation. 36 + -36 + 10y = 51 + -36 Combine like terms: 36 + -36 = 0 0 + 10y = 51 + -36 10y = 51 + -36 Combine like terms: 51 + -36 = 15 10y = 15 Divide each side by '10'. y = 1.5 Simplifying y = 1.5
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