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Simplifying -31 + 4Y + 2 = 2(3Y + -3) + -5 Reorder the terms: -31 + 2 + 4Y = 2(3Y + -3) + -5 Combine like terms: -31 + 2 = -29 -29 + 4Y = 2(3Y + -3) + -5 Reorder the terms: -29 + 4Y = 2(-3 + 3Y) + -5 -29 + 4Y = (-3 * 2 + 3Y * 2) + -5 -29 + 4Y = (-6 + 6Y) + -5 Reorder the terms: -29 + 4Y = -6 + -5 + 6Y Combine like terms: -6 + -5 = -11 -29 + 4Y = -11 + 6Y Solving -29 + 4Y = -11 + 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. -29 + 4Y + -6Y = -11 + 6Y + -6Y Combine like terms: 4Y + -6Y = -2Y -29 + -2Y = -11 + 6Y + -6Y Combine like terms: 6Y + -6Y = 0 -29 + -2Y = -11 + 0 -29 + -2Y = -11 Add '29' to each side of the equation. -29 + 29 + -2Y = -11 + 29 Combine like terms: -29 + 29 = 0 0 + -2Y = -11 + 29 -2Y = -11 + 29 Combine like terms: -11 + 29 = 18 -2Y = 18 Divide each side by '-2'. Y = -9 Simplifying Y = -9
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