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Simplifying 6Y + 2 = 7Y + -4 Reorder the terms: 2 + 6Y = 7Y + -4 Reorder the terms: 2 + 6Y = -4 + 7Y Solving 2 + 6Y = -4 + 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. 2 + 6Y + -7Y = -4 + 7Y + -7Y Combine like terms: 6Y + -7Y = -1Y 2 + -1Y = -4 + 7Y + -7Y Combine like terms: 7Y + -7Y = 0 2 + -1Y = -4 + 0 2 + -1Y = -4 Add '-2' to each side of the equation. 2 + -2 + -1Y = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -1Y = -4 + -2 -1Y = -4 + -2 Combine like terms: -4 + -2 = -6 -1Y = -6 Divide each side by '-1'. Y = 6 Simplifying Y = 6
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