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Simplifying 7(2x + y) + 5(x + 4Y) = 0 (2x * 7 + y * 7) + 5(x + 4Y) = 0 (14x + 7y) + 5(x + 4Y) = 0 Reorder the terms: 14x + 7y + 5(4Y + x) = 0 14x + 7y + (4Y * 5 + x * 5) = 0 14x + 7y + (20Y + 5x) = 0 Reorder the terms: 20Y + 14x + 5x + 7y = 0 Combine like terms: 14x + 5x = 19x 20Y + 19x + 7y = 0 Solving 20Y + 19x + 7y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-19x' to each side of the equation. 20Y + 19x + -19x + 7y = 0 + -19x Combine like terms: 19x + -19x = 0 20Y + 0 + 7y = 0 + -19x 20Y + 7y = 0 + -19x Remove the zero: 20Y + 7y = -19x Add '-7y' to each side of the equation. 20Y + 7y + -7y = -19x + -7y Combine like terms: 7y + -7y = 0 20Y + 0 = -19x + -7y 20Y = -19x + -7y Divide each side by '20'. Y = -0.95x + -0.35y Simplifying Y = -0.95x + -0.35y
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