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Simplifying -2(6y + -1) + 2y = 2(y + 8) Reorder the terms: -2(-1 + 6y) + 2y = 2(y + 8) (-1 * -2 + 6y * -2) + 2y = 2(y + 8) (2 + -12y) + 2y = 2(y + 8) Combine like terms: -12y + 2y = -10y 2 + -10y = 2(y + 8) Reorder the terms: 2 + -10y = 2(8 + y) 2 + -10y = (8 * 2 + y * 2) 2 + -10y = (16 + 2y) Solving 2 + -10y = 16 + 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. 2 + -10y + -2y = 16 + 2y + -2y Combine like terms: -10y + -2y = -12y 2 + -12y = 16 + 2y + -2y Combine like terms: 2y + -2y = 0 2 + -12y = 16 + 0 2 + -12y = 16 Add '-2' to each side of the equation. 2 + -2 + -12y = 16 + -2 Combine like terms: 2 + -2 = 0 0 + -12y = 16 + -2 -12y = 16 + -2 Combine like terms: 16 + -2 = 14 -12y = 14 Divide each side by '-12'. y = -1.166666667 Simplifying y = -1.166666667
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