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Simplifying (9 + -2y) = 5(2 + -3y) + -50 Remove parenthesis around (9 + -2y) 9 + -2y = 5(2 + -3y) + -50 9 + -2y = (2 * 5 + -3y * 5) + -50 9 + -2y = (10 + -15y) + -50 Reorder the terms: 9 + -2y = 10 + -50 + -15y Combine like terms: 10 + -50 = -40 9 + -2y = -40 + -15y Solving 9 + -2y = -40 + -15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15y' to each side of the equation. 9 + -2y + 15y = -40 + -15y + 15y Combine like terms: -2y + 15y = 13y 9 + 13y = -40 + -15y + 15y Combine like terms: -15y + 15y = 0 9 + 13y = -40 + 0 9 + 13y = -40 Add '-9' to each side of the equation. 9 + -9 + 13y = -40 + -9 Combine like terms: 9 + -9 = 0 0 + 13y = -40 + -9 13y = -40 + -9 Combine like terms: -40 + -9 = -49 13y = -49 Divide each side by '13'. y = -3.769230769 Simplifying y = -3.769230769
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