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Simplifying 2(-1y + 3) + 3(2y + -1) = 11 Reorder the terms: 2(3 + -1y) + 3(2y + -1) = 11 (3 * 2 + -1y * 2) + 3(2y + -1) = 11 (6 + -2y) + 3(2y + -1) = 11 Reorder the terms: 6 + -2y + 3(-1 + 2y) = 11 6 + -2y + (-1 * 3 + 2y * 3) = 11 6 + -2y + (-3 + 6y) = 11 Reorder the terms: 6 + -3 + -2y + 6y = 11 Combine like terms: 6 + -3 = 3 3 + -2y + 6y = 11 Combine like terms: -2y + 6y = 4y 3 + 4y = 11 Solving 3 + 4y = 11 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4y = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 4y = 11 + -3 4y = 11 + -3 Combine like terms: 11 + -3 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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