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Simplifying 6y + 1 + -3(-4y + -1) = 4(y + -2) Reorder the terms: 6y + 1 + -3(-1 + -4y) = 4(y + -2) 6y + 1 + (-1 * -3 + -4y * -3) = 4(y + -2) 6y + 1 + (3 + 12y) = 4(y + -2) Reorder the terms: 1 + 3 + 6y + 12y = 4(y + -2) Combine like terms: 1 + 3 = 4 4 + 6y + 12y = 4(y + -2) Combine like terms: 6y + 12y = 18y 4 + 18y = 4(y + -2) Reorder the terms: 4 + 18y = 4(-2 + y) 4 + 18y = (-2 * 4 + y * 4) 4 + 18y = (-8 + 4y) Solving 4 + 18y = -8 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 4 + 18y + -4y = -8 + 4y + -4y Combine like terms: 18y + -4y = 14y 4 + 14y = -8 + 4y + -4y Combine like terms: 4y + -4y = 0 4 + 14y = -8 + 0 4 + 14y = -8 Add '-4' to each side of the equation. 4 + -4 + 14y = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 14y = -8 + -4 14y = -8 + -4 Combine like terms: -8 + -4 = -12 14y = -12 Divide each side by '14'. y = -0.8571428571 Simplifying y = -0.8571428571
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