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Simplifying 4(-0.5y + 46) + 2Y = 184 Reorder the terms: 4(46 + -0.5y) + 2Y = 184 (46 * 4 + -0.5y * 4) + 2Y = 184 (184 + -2y) + 2Y = 184 Reorder the terms: 184 + 2Y + -2y = 184 Add '-184' to each side of the equation. 184 + 2Y + -184 + -2y = 184 + -184 Reorder the terms: 184 + -184 + 2Y + -2y = 184 + -184 Combine like terms: 184 + -184 = 0 0 + 2Y + -2y = 184 + -184 2Y + -2y = 184 + -184 Combine like terms: 184 + -184 = 0 2Y + -2y = 0 Solving 2Y + -2y = 0 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. 2Y + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 2Y + 0 = 0 + 2y 2Y = 0 + 2y Remove the zero: 2Y = 2y Divide each side by '2'. Y = y Simplifying Y = y
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