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Simplifying 2[(3y + -1) + -1(5y + 2) + -4] = 2y Reorder the terms: 2[(-1 + 3y) + -1(5y + 2) + -4] = 2y Remove parenthesis around (-1 + 3y) 2[-1 + 3y + -1(5y + 2) + -4] = 2y Reorder the terms: 2[-1 + 3y + -1(2 + 5y) + -4] = 2y 2[-1 + 3y + (2 * -1 + 5y * -1) + -4] = 2y 2[-1 + 3y + (-2 + -5y) + -4] = 2y Reorder the terms: 2[-1 + -2 + -4 + 3y + -5y] = 2y Combine like terms: -1 + -2 = -3 2[-3 + -4 + 3y + -5y] = 2y Combine like terms: -3 + -4 = -7 2[-7 + 3y + -5y] = 2y Combine like terms: 3y + -5y = -2y 2[-7 + -2y] = 2y [-7 * 2 + -2y * 2] = 2y [-14 + -4y] = 2y Solving -14 + -4y = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -14 + -4y + -2y = 2y + -2y Combine like terms: -4y + -2y = -6y -14 + -6y = 2y + -2y Combine like terms: 2y + -2y = 0 -14 + -6y = 0 Add '14' to each side of the equation. -14 + 14 + -6y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -6y = 0 + 14 -6y = 0 + 14 Combine like terms: 0 + 14 = 14 -6y = 14 Divide each side by '-6'. y = -2.333333333 Simplifying y = -2.333333333
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