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Simplifying 27 * 4 + 5 + -4 + 4y + -1(3y + 5) + -1(2Y) * 7 = 0 Multiply 27 * 4 108 + 5 + -4 + 4y + -1(3y + 5) + -1(2Y) * 7 = 0 Reorder the terms: 108 + 5 + -4 + 4y + -1(5 + 3y) + -1(2Y) * 7 = 0 108 + 5 + -4 + 4y + (5 * -1 + 3y * -1) + -1(2Y) * 7 = 0 108 + 5 + -4 + 4y + (-5 + -3y) + -1(2Y) * 7 = 0 Remove parenthesis around (2Y) 108 + 5 + -4 + 4y + -5 + -3y + -1 * 2Y * 7 = 0 Reorder the terms for easier multiplication: 108 + 5 + -4 + 4y + -5 + -3y + -1 * 2 * 7Y = 0 Multiply -1 * 2 108 + 5 + -4 + 4y + -5 + -3y + -2 * 7Y = 0 Multiply -2 * 7 108 + 5 + -4 + 4y + -5 + -3y + -14Y = 0 Reorder the terms: 108 + 5 + -4 + -5 + -14Y + 4y + -3y = 0 Combine like terms: 108 + 5 = 113 113 + -4 + -5 + -14Y + 4y + -3y = 0 Combine like terms: 113 + -4 = 109 109 + -5 + -14Y + 4y + -3y = 0 Combine like terms: 109 + -5 = 104 104 + -14Y + 4y + -3y = 0 Combine like terms: 4y + -3y = 1y 104 + -14Y + 1y = 0 Solving 104 + -14Y + 1y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-104' to each side of the equation. 104 + -14Y + -104 + 1y = 0 + -104 Reorder the terms: 104 + -104 + -14Y + 1y = 0 + -104 Combine like terms: 104 + -104 = 0 0 + -14Y + 1y = 0 + -104 -14Y + 1y = 0 + -104 Combine like terms: 0 + -104 = -104 -14Y + 1y = -104 Add '-1y' to each side of the equation. -14Y + 1y + -1y = -104 + -1y Combine like terms: 1y + -1y = 0 -14Y + 0 = -104 + -1y -14Y = -104 + -1y Divide each side by '-14'. Y = 7.428571429 + 0.07142857143y Simplifying Y = 7.428571429 + 0.07142857143y
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