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