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Simplifying -2[(8x + -3x) + -5(x + y) + 6y] = -3(3y + -4x) Combine like terms: 8x + -3x = 5x -2[(5x) + -5(x + y) + 6y] = -3(3y + -4x) -2[(5x) + -5(x + y) + 6y] = -3(3y + -4x) -2[(5x) + (x * -5 + y * -5) + 6y] = -3(3y + -4x) -2[(5x) + (-5x + -5y) + 6y] = -3(3y + -4x) Combine like terms: (5x) + -5x = 0 -2[0 + -5y + 6y] = -3(3y + -4x) -2[-5y + 6y] = -3(3y + -4x) Combine like terms: -5y + 6y = 1y -2[1y] = -3(3y + -4x) Remove brackets around [1y] -2 * 1y = -3(3y + -4x) Multiply -2 * 1 -2y = -3(3y + -4x) Reorder the terms: -2y = -3(-4x + 3y) -2y = (-4x * -3 + 3y * -3) -2y = (12x + -9y) Solving -2y = 12x + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -2y + 9y = 12x + -9y + 9y Combine like terms: -2y + 9y = 7y 7y = 12x + -9y + 9y Combine like terms: -9y + 9y = 0 7y = 12x + 0 7y = 12x Divide each side by '7'. y = 1.714285714x Simplifying y = 1.714285714x
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