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Simplifying 2(3y + 4) + -3(2y + 3y) = 0 Reorder the terms: 2(4 + 3y) + -3(2y + 3y) = 0 (4 * 2 + 3y * 2) + -3(2y + 3y) = 0 (8 + 6y) + -3(2y + 3y) = 0 Combine like terms: 2y + 3y = 5y 8 + 6y + -3(5y) = 0 Remove parenthesis around (5y) 8 + 6y + -3 * 5y = 0 Multiply -3 * 5 8 + 6y + -15y = 0 Combine like terms: 6y + -15y = -9y 8 + -9y = 0 Solving 8 + -9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9y = 0 + -8 -9y = 0 + -8 Combine like terms: 0 + -8 = -8 -9y = -8 Divide each side by '-9'. y = 0.8888888889 Simplifying y = 0.8888888889
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