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Simplifying y + 1 + -3(-6y + -2) = 7(y + -1) Reorder the terms: y + 1 + -3(-2 + -6y) = 7(y + -1) y + 1 + (-2 * -3 + -6y * -3) = 7(y + -1) y + 1 + (6 + 18y) = 7(y + -1) Reorder the terms: 1 + 6 + y + 18y = 7(y + -1) Combine like terms: 1 + 6 = 7 7 + y + 18y = 7(y + -1) Combine like terms: y + 18y = 19y 7 + 19y = 7(y + -1) Reorder the terms: 7 + 19y = 7(-1 + y) 7 + 19y = (-1 * 7 + y * 7) 7 + 19y = (-7 + 7y) Solving 7 + 19y = -7 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 7 + 19y + -7y = -7 + 7y + -7y Combine like terms: 19y + -7y = 12y 7 + 12y = -7 + 7y + -7y Combine like terms: 7y + -7y = 0 7 + 12y = -7 + 0 7 + 12y = -7 Add '-7' to each side of the equation. 7 + -7 + 12y = -7 + -7 Combine like terms: 7 + -7 = 0 0 + 12y = -7 + -7 12y = -7 + -7 Combine like terms: -7 + -7 = -14 12y = -14 Divide each side by '12'. y = -1.166666667 Simplifying y = -1.166666667
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