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Simplifying 4(3y + 2) + -3(2y + 1) = 7 Reorder the terms: 4(2 + 3y) + -3(2y + 1) = 7 (2 * 4 + 3y * 4) + -3(2y + 1) = 7 (8 + 12y) + -3(2y + 1) = 7 Reorder the terms: 8 + 12y + -3(1 + 2y) = 7 8 + 12y + (1 * -3 + 2y * -3) = 7 8 + 12y + (-3 + -6y) = 7 Reorder the terms: 8 + -3 + 12y + -6y = 7 Combine like terms: 8 + -3 = 5 5 + 12y + -6y = 7 Combine like terms: 12y + -6y = 6y 5 + 6y = 7 Solving 5 + 6y = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6y = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 6y = 7 + -5 6y = 7 + -5 Combine like terms: 7 + -5 = 2 6y = 2 Divide each side by '6'. y = 0.3333333333 Simplifying y = 0.3333333333
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