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Simplifying 8(3x + -2x) + 4(-3x + 4Y) = 0 Combine like terms: 3x + -2x = 1x 8(1x) + 4(-3x + 4Y) = 0 Remove parenthesis around (1x) 8 * 1x + 4(-3x + 4Y) = 0 Multiply 8 * 1 8x + 4(-3x + 4Y) = 0 Reorder the terms: 8x + 4(4Y + -3x) = 0 8x + (4Y * 4 + -3x * 4) = 0 8x + (16Y + -12x) = 0 Reorder the terms: 16Y + 8x + -12x = 0 Combine like terms: 8x + -12x = -4x 16Y + -4x = 0 Solving 16Y + -4x = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '4x' to each side of the equation. 16Y + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 16Y + 0 = 0 + 4x 16Y = 0 + 4x Remove the zero: 16Y = 4x Divide each side by '16'. Y = 0.25x Simplifying Y = 0.25x
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