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Simplifying 2y + -1 + -1(-1y + 3) = 6 + -1(2y) Reorder the terms: 2y + -1 + -1(3 + -1y) = 6 + -1(2y) 2y + -1 + (3 * -1 + -1y * -1) = 6 + -1(2y) 2y + -1 + (-3 + 1y) = 6 + -1(2y) Reorder the terms: -1 + -3 + 2y + 1y = 6 + -1(2y) Combine like terms: -1 + -3 = -4 -4 + 2y + 1y = 6 + -1(2y) Combine like terms: 2y + 1y = 3y -4 + 3y = 6 + -1(2y) Remove parenthesis around (2y) -4 + 3y = 6 + -1 * 2y Multiply -1 * 2 -4 + 3y = 6 + -2y Solving -4 + 3y = 6 + -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. -4 + 3y + 2y = 6 + -2y + 2y Combine like terms: 3y + 2y = 5y -4 + 5y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 -4 + 5y = 6 + 0 -4 + 5y = 6 Add '4' to each side of the equation. -4 + 4 + 5y = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 5y = 6 + 4 5y = 6 + 4 Combine like terms: 6 + 4 = 10 5y = 10 Divide each side by '5'. y = 2 Simplifying y = 2
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