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Simplifying -7(-2 + -6Y) + 5y = 14 (-2 * -7 + -6Y * -7) + 5y = 14 (14 + 42Y) + 5y = 14 Add '-14' to each side of the equation. 14 + 42Y + -14 + 5y = 14 + -14 Reorder the terms: 14 + -14 + 42Y + 5y = 14 + -14 Combine like terms: 14 + -14 = 0 0 + 42Y + 5y = 14 + -14 42Y + 5y = 14 + -14 Combine like terms: 14 + -14 = 0 42Y + 5y = 0 Solving 42Y + 5y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-5y' to each side of the equation. 42Y + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 42Y + 0 = 0 + -5y 42Y = 0 + -5y Remove the zero: 42Y = -5y Divide each side by '42'. Y = -0.119047619y Simplifying Y = -0.119047619y
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