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Simplifying 3(2 + -1y) + -4 = 4 + -5(y + 1) (2 * 3 + -1y * 3) + -4 = 4 + -5(y + 1) (6 + -3y) + -4 = 4 + -5(y + 1) Reorder the terms: 6 + -4 + -3y = 4 + -5(y + 1) Combine like terms: 6 + -4 = 2 2 + -3y = 4 + -5(y + 1) Reorder the terms: 2 + -3y = 4 + -5(1 + y) 2 + -3y = 4 + (1 * -5 + y * -5) 2 + -3y = 4 + (-5 + -5y) Combine like terms: 4 + -5 = -1 2 + -3y = -1 + -5y Solving 2 + -3y = -1 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 2 + -3y + 5y = -1 + -5y + 5y Combine like terms: -3y + 5y = 2y 2 + 2y = -1 + -5y + 5y Combine like terms: -5y + 5y = 0 2 + 2y = -1 + 0 2 + 2y = -1 Add '-2' to each side of the equation. 2 + -2 + 2y = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = -1 + -2 2y = -1 + -2 Combine like terms: -1 + -2 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5
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