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Simplifying 5x + 3 + 6Y + 6x + -7x + 5y = 180 Reorder the terms: 3 + 6Y + 5x + 6x + -7x + 5y = 180 Combine like terms: 5x + 6x = 11x 3 + 6Y + 11x + -7x + 5y = 180 Combine like terms: 11x + -7x = 4x 3 + 6Y + 4x + 5y = 180 Solving 3 + 6Y + 4x + 5y = 180 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 6Y + 4x + -3 + 5y = 180 + -3 Reorder the terms: 3 + -3 + 6Y + 4x + 5y = 180 + -3 Combine like terms: 3 + -3 = 0 0 + 6Y + 4x + 5y = 180 + -3 6Y + 4x + 5y = 180 + -3 Combine like terms: 180 + -3 = 177 6Y + 4x + 5y = 177 Add '-4x' to each side of the equation. 6Y + 4x + -4x + 5y = 177 + -4x Combine like terms: 4x + -4x = 0 6Y + 0 + 5y = 177 + -4x 6Y + 5y = 177 + -4x Add '-5y' to each side of the equation. 6Y + 5y + -5y = 177 + -4x + -5y Combine like terms: 5y + -5y = 0 6Y + 0 = 177 + -4x + -5y 6Y = 177 + -4x + -5y Divide each side by '6'. Y = 29.5 + -0.6666666667x + -0.8333333333y Simplifying Y = 29.5 + -0.6666666667x + -0.8333333333y
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