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Simplifying y + 7 + -4(-3y + -1) = 3(y + -1) Reorder the terms: y + 7 + -4(-1 + -3y) = 3(y + -1) y + 7 + (-1 * -4 + -3y * -4) = 3(y + -1) y + 7 + (4 + 12y) = 3(y + -1) Reorder the terms: 7 + 4 + y + 12y = 3(y + -1) Combine like terms: 7 + 4 = 11 11 + y + 12y = 3(y + -1) Combine like terms: y + 12y = 13y 11 + 13y = 3(y + -1) Reorder the terms: 11 + 13y = 3(-1 + y) 11 + 13y = (-1 * 3 + y * 3) 11 + 13y = (-3 + 3y) Solving 11 + 13y = -3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 11 + 13y + -3y = -3 + 3y + -3y Combine like terms: 13y + -3y = 10y 11 + 10y = -3 + 3y + -3y Combine like terms: 3y + -3y = 0 11 + 10y = -3 + 0 11 + 10y = -3 Add '-11' to each side of the equation. 11 + -11 + 10y = -3 + -11 Combine like terms: 11 + -11 = 0 0 + 10y = -3 + -11 10y = -3 + -11 Combine like terms: -3 + -11 = -14 10y = -14 Divide each side by '10'. y = -1.4 Simplifying y = -1.4
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