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Simplifying -38 + 4Y + 9 = 2(3Y + -2) + -7 Reorder the terms: -38 + 9 + 4Y = 2(3Y + -2) + -7 Combine like terms: -38 + 9 = -29 -29 + 4Y = 2(3Y + -2) + -7 Reorder the terms: -29 + 4Y = 2(-2 + 3Y) + -7 -29 + 4Y = (-2 * 2 + 3Y * 2) + -7 -29 + 4Y = (-4 + 6Y) + -7 Reorder the terms: -29 + 4Y = -4 + -7 + 6Y Combine like terms: -4 + -7 = -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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