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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 = -7 -7 + 2y + -6y = 31 Combine like terms: 2y + -6y = -4y -7 + -4y = 31 Solving -7 + -4y = 31 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4y = 31 + 7 Combine like terms: -7 + 7 = 0 0 + -4y = 31 + 7 -4y = 31 + 7 Combine like terms: 31 + 7 = 38 -4y = 38 Divide each side by '-4'. y = -9.5 Simplifying y = -9.5
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