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Simplifying -6(Y + -4) = 7Y + -15 Reorder the terms: -6(-4 + Y) = 7Y + -15 (-4 * -6 + Y * -6) = 7Y + -15 (24 + -6Y) = 7Y + -15 Reorder the terms: 24 + -6Y = -15 + 7Y Solving 24 + -6Y = -15 + 7Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-7Y' to each side of the equation. 24 + -6Y + -7Y = -15 + 7Y + -7Y Combine like terms: -6Y + -7Y = -13Y 24 + -13Y = -15 + 7Y + -7Y Combine like terms: 7Y + -7Y = 0 24 + -13Y = -15 + 0 24 + -13Y = -15 Add '-24' to each side of the equation. 24 + -24 + -13Y = -15 + -24 Combine like terms: 24 + -24 = 0 0 + -13Y = -15 + -24 -13Y = -15 + -24 Combine like terms: -15 + -24 = -39 -13Y = -39 Divide each side by '-13'. Y = 3 Simplifying Y = 3
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