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Simplifying 3(4y + 3) = 2(3y + 5) Reorder the terms: 3(3 + 4y) = 2(3y + 5) (3 * 3 + 4y * 3) = 2(3y + 5) (9 + 12y) = 2(3y + 5) Reorder the terms: 9 + 12y = 2(5 + 3y) 9 + 12y = (5 * 2 + 3y * 2) 9 + 12y = (10 + 6y) Solving 9 + 12y = 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 + 12y + -6y = 10 + 6y + -6y Combine like terms: 12y + -6y = 6y 9 + 6y = 10 + 6y + -6y Combine like terms: 6y + -6y = 0 9 + 6y = 10 + 0 9 + 6y = 10 Add '-9' to each side of the equation. 9 + -9 + 6y = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 6y = 10 + -9 6y = 10 + -9 Combine like terms: 10 + -9 = 1 6y = 1 Divide each side by '6'. y = 0.1666666667 Simplifying y = 0.1666666667
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