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Simplifying 3(9 + -4y) = 5(4 + 2y) (9 * 3 + -4y * 3) = 5(4 + 2y) (27 + -12y) = 5(4 + 2y) 27 + -12y = (4 * 5 + 2y * 5) 27 + -12y = (20 + 10y) Solving 27 + -12y = 20 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 27 + -12y + -10y = 20 + 10y + -10y Combine like terms: -12y + -10y = -22y 27 + -22y = 20 + 10y + -10y Combine like terms: 10y + -10y = 0 27 + -22y = 20 + 0 27 + -22y = 20 Add '-27' to each side of the equation. 27 + -27 + -22y = 20 + -27 Combine like terms: 27 + -27 = 0 0 + -22y = 20 + -27 -22y = 20 + -27 Combine like terms: 20 + -27 = -7 -22y = -7 Divide each side by '-22'. y = 0.3181818182 Simplifying y = 0.3181818182
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