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Simplifying 114 = 4y + 3 + 5Y + 4Y + 3 + 5Y Reorder the terms: 114 = 3 + 3 + 5Y + 4Y + 5Y + 4y Combine like terms: 3 + 3 = 6 114 = 6 + 5Y + 4Y + 5Y + 4y Combine like terms: 5Y + 4Y = 9Y 114 = 6 + 9Y + 5Y + 4y Combine like terms: 9Y + 5Y = 14Y 114 = 6 + 14Y + 4y Solving 114 = 6 + 14Y + 4y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-14Y' to each side of the equation. 114 + -14Y = 6 + 14Y + -14Y + 4y Combine like terms: 14Y + -14Y = 0 114 + -14Y = 6 + 0 + 4y 114 + -14Y = 6 + 4y Add '-114' to each side of the equation. 114 + -114 + -14Y = 6 + -114 + 4y Combine like terms: 114 + -114 = 0 0 + -14Y = 6 + -114 + 4y -14Y = 6 + -114 + 4y Combine like terms: 6 + -114 = -108 -14Y = -108 + 4y Divide each side by '-14'. Y = 7.714285714 + -0.2857142857y Simplifying Y = 7.714285714 + -0.2857142857y
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