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Simplifying [(-5y + 8y) + -1(6y + 2)] + -1[(3y + -1y) + 9y] = 0 Combine like terms: -5y + 8y = 3y [(3y) + -1(6y + 2)] + -1[(3y + -1y) + 9y] = 0 [(3y) + -1(6y + 2)] + -1[(3y + -1y) + 9y] = 0 Reorder the terms: [(3y) + -1(2 + 6y)] + -1[(3y + -1y) + 9y] = 0 [(3y) + (2 * -1 + 6y * -1)] + -1[(3y + -1y) + 9y] = 0 [(3y) + (-2 + -6y)] + -1[(3y + -1y) + 9y] = 0 Reorder the terms: [-2 + (3y) + -6y] + -1[(3y + -1y) + 9y] = 0 Combine like terms: (3y) + -6y = -3y [-2 + -3y] + -1[(3y + -1y) + 9y] = 0 Remove brackets around [-2 + -3y] -2 + -3y + -1[(3y + -1y) + 9y] = 0 Combine like terms: 3y + -1y = 2y -2 + -3y + -1[(2y) + 9y] = 0 -2 + -3y + -1[(2y) + 9y] = 0 Combine like terms: (2y) + 9y = 11y -2 + -3y + -1[11y] = 0 Remove brackets around [11y] -2 + -3y + -1 * 11y = 0 Multiply -1 * 11 -2 + -3y + -11y = 0 Combine like terms: -3y + -11y = -14y -2 + -14y = 0 Solving -2 + -14y = 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 + -14y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -14y = 0 + 2 -14y = 0 + 2 Combine like terms: 0 + 2 = 2 -14y = 2 Divide each side by '-14'. y = -0.1428571429 Simplifying y = -0.1428571429
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