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Simplifying 5(2 + -3y) + -9y = (3 + -2y) (2 * 5 + -3y * 5) + -9y = (3 + -2y) (10 + -15y) + -9y = (3 + -2y) Combine like terms: -15y + -9y = -24y 10 + -24y = (3 + -2y) Remove parenthesis around (3 + -2y) 10 + -24y = 3 + -2y Solving 10 + -24y = 3 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 10 + -24y + 2y = 3 + -2y + 2y Combine like terms: -24y + 2y = -22y 10 + -22y = 3 + -2y + 2y Combine like terms: -2y + 2y = 0 10 + -22y = 3 + 0 10 + -22y = 3 Add '-10' to each side of the equation. 10 + -10 + -22y = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -22y = 3 + -10 -22y = 3 + -10 Combine like terms: 3 + -10 = -7 -22y = -7 Divide each side by '-22'. y = 0.3181818182 Simplifying y = 0.3181818182
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