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Simplifying -2(5y + -2) + y = 3(y + 6) Reorder the terms: -2(-2 + 5y) + y = 3(y + 6) (-2 * -2 + 5y * -2) + y = 3(y + 6) (4 + -10y) + y = 3(y + 6) Combine like terms: -10y + y = -9y 4 + -9y = 3(y + 6) Reorder the terms: 4 + -9y = 3(6 + y) 4 + -9y = (6 * 3 + y * 3) 4 + -9y = (18 + 3y) Solving 4 + -9y = 18 + 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. 4 + -9y + -3y = 18 + 3y + -3y Combine like terms: -9y + -3y = -12y 4 + -12y = 18 + 3y + -3y Combine like terms: 3y + -3y = 0 4 + -12y = 18 + 0 4 + -12y = 18 Add '-4' to each side of the equation. 4 + -4 + -12y = 18 + -4 Combine like terms: 4 + -4 = 0 0 + -12y = 18 + -4 -12y = 18 + -4 Combine like terms: 18 + -4 = 14 -12y = 14 Divide each side by '-12'. y = -1.166666667 Simplifying y = -1.166666667
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