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Simplifying 2y + 3(-2y + 3) + 2 = 31 Reorder the terms: 2y + 3(3 + -2y) + 2 = 31 2y + (3 * 3 + -2y * 3) + 2 = 31 2y + (9 + -6y) + 2 = 31 Reorder the terms: 9 + 2 + 2y + -6y = 31 Combine like terms: 9 + 2 = 11 11 + 2y + -6y = 31 Combine like terms: 2y + -6y = -4y 11 + -4y = 31 Solving 11 + -4y = 31 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4y = 31 + -11 Combine like terms: 11 + -11 = 0 0 + -4y = 31 + -11 -4y = 31 + -11 Combine like terms: 31 + -11 = 20 -4y = 20 Divide each side by '-4'. y = -5 Simplifying y = -5
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