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Simplifying -2(6y + -5) + 2y = 2(y + 6) Reorder the terms: -2(-5 + 6y) + 2y = 2(y + 6) (-5 * -2 + 6y * -2) + 2y = 2(y + 6) (10 + -12y) + 2y = 2(y + 6) Combine like terms: -12y + 2y = -10y 10 + -10y = 2(y + 6) Reorder the terms: 10 + -10y = 2(6 + y) 10 + -10y = (6 * 2 + y * 2) 10 + -10y = (12 + 2y) Solving 10 + -10y = 12 + 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. 10 + -10y + -2y = 12 + 2y + -2y Combine like terms: -10y + -2y = -12y 10 + -12y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 10 + -12y = 12 + 0 10 + -12y = 12 Add '-10' to each side of the equation. 10 + -10 + -12y = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -12y = 12 + -10 -12y = 12 + -10 Combine like terms: 12 + -10 = 2 -12y = 2 Divide each side by '-12'. y = -0.1666666667 Simplifying y = -0.1666666667
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