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Simplifying 6(Y + -7) + -8Y = -38 Reorder the terms: 6(-7 + Y) + -8Y = -38 (-7 * 6 + Y * 6) + -8Y = -38 (-42 + 6Y) + -8Y = -38 Combine like terms: 6Y + -8Y = -2Y -42 + -2Y = -38 Solving -42 + -2Y = -38 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -2Y = -38 + 42 Combine like terms: -42 + 42 = 0 0 + -2Y = -38 + 42 -2Y = -38 + 42 Combine like terms: -38 + 42 = 4 -2Y = 4 Divide each side by '-2'. Y = -2 Simplifying Y = -2
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