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Simplifying -2y + -3 + -1(-4y + 5 + (-1y + 2 + -1(3y + -1) + 2y + -5)) = -1(y + -4) Reorder the terms: -2y + -3 + -1(-4y + 5 + (-1y + 2 + -1(-1 + 3y) + 2y + -5)) = -1(y + -4) -2y + -3 + -1(-4y + 5 + (-1y + 2 + (-1 * -1 + 3y * -1) + 2y + -5)) = -1(y + -4) -2y + -3 + -1(-4y + 5 + (-1y + 2 + (1 + -3y) + 2y + -5)) = -1(y + -4) Reorder the terms: -2y + -3 + -1(-4y + 5 + (2 + 1 + -5 + -1y + -3y + 2y)) = -1(y + -4) Combine like terms: 2 + 1 = 3 -2y + -3 + -1(-4y + 5 + (3 + -5 + -1y + -3y + 2y)) = -1(y + -4) Combine like terms: 3 + -5 = -2 -2y + -3 + -1(-4y + 5 + (-2 + -1y + -3y + 2y)) = -1(y + -4) Combine like terms: -1y + -3y = -4y -2y + -3 + -1(-4y + 5 + (-2 + -4y + 2y)) = -1(y + -4) Combine like terms: -4y + 2y = -2y -2y + -3 + -1(-4y + 5 + (-2 + -2y)) = -1(y + -4) Remove parenthesis around (-2 + -2y) -2y + -3 + -1(-4y + 5 + -2 + -2y) = -1(y + -4) Reorder the terms: -2y + -3 + -1(5 + -2 + -4y + -2y) = -1(y + -4) Combine like terms: 5 + -2 = 3 -2y + -3 + -1(3 + -4y + -2y) = -1(y + -4) Combine like terms: -4y + -2y = -6y -2y + -3 + -1(3 + -6y) = -1(y + -4) -2y + -3 + (3 * -1 + -6y * -1) = -1(y + -4) -2y + -3 + (-3 + 6y) = -1(y + -4) Reorder the terms: -3 + -3 + -2y + 6y = -1(y + -4) Combine like terms: -3 + -3 = -6 -6 + -2y + 6y = -1(y + -4) Combine like terms: -2y + 6y = 4y -6 + 4y = -1(y + -4) Reorder the terms: -6 + 4y = -1(-4 + y) -6 + 4y = (-4 * -1 + y * -1) -6 + 4y = (4 + -1y) Solving -6 + 4y = 4 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -6 + 4y + y = 4 + -1y + y Combine like terms: 4y + y = 5y -6 + 5y = 4 + -1y + y Combine like terms: -1y + y = 0 -6 + 5y = 4 + 0 -6 + 5y = 4 Add '6' to each side of the equation. -6 + 6 + 5y = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 5y = 4 + 6 5y = 4 + 6 Combine like terms: 4 + 6 = 10 5y = 10 Divide each side by '5'. y = 2 Simplifying y = 2
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