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