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Simplifying 3(y + 3) + 4y = -2(5 + -3y) Reorder the terms: 3(3 + y) + 4y = -2(5 + -3y) (3 * 3 + y * 3) + 4y = -2(5 + -3y) (9 + 3y) + 4y = -2(5 + -3y) Combine like terms: 3y + 4y = 7y 9 + 7y = -2(5 + -3y) 9 + 7y = (5 * -2 + -3y * -2) 9 + 7y = (-10 + 6y) Solving 9 + 7y = -10 + 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. 9 + 7y + -6y = -10 + 6y + -6y Combine like terms: 7y + -6y = 1y 9 + 1y = -10 + 6y + -6y Combine like terms: 6y + -6y = 0 9 + 1y = -10 + 0 9 + 1y = -10 Add '-9' to each side of the equation. 9 + -9 + 1y = -10 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = -10 + -9 1y = -10 + -9 Combine like terms: -10 + -9 = -19 1y = -19 Divide each side by '1'. y = -19 Simplifying y = -19
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