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Simplifying Y + (7y + 21) = 2Y + 45 Reorder the terms: Y + (21 + 7y) = 2Y + 45 Remove parenthesis around (21 + 7y) Y + 21 + 7y = 2Y + 45 Reorder the terms: 21 + Y + 7y = 2Y + 45 Reorder the terms: 21 + Y + 7y = 45 + 2Y Solving 21 + Y + 7y = 45 + 2Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-2Y' to each side of the equation. 21 + Y + -2Y + 7y = 45 + 2Y + -2Y Combine like terms: Y + -2Y = -1Y 21 + -1Y + 7y = 45 + 2Y + -2Y Combine like terms: 2Y + -2Y = 0 21 + -1Y + 7y = 45 + 0 21 + -1Y + 7y = 45 Add '-21' to each side of the equation. 21 + -1Y + -21 + 7y = 45 + -21 Reorder the terms: 21 + -21 + -1Y + 7y = 45 + -21 Combine like terms: 21 + -21 = 0 0 + -1Y + 7y = 45 + -21 -1Y + 7y = 45 + -21 Combine like terms: 45 + -21 = 24 -1Y + 7y = 24 Add '-7y' to each side of the equation. -1Y + 7y + -7y = 24 + -7y Combine like terms: 7y + -7y = 0 -1Y + 0 = 24 + -7y -1Y = 24 + -7y Divide each side by '-1'. Y = -24 + 7y Simplifying Y = -24 + 7y
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