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Simplifying 6y + 1 + -3(-2y + -1) = 2(y + -4) Reorder the terms: 6y + 1 + -3(-1 + -2y) = 2(y + -4) 6y + 1 + (-1 * -3 + -2y * -3) = 2(y + -4) 6y + 1 + (3 + 6y) = 2(y + -4) Reorder the terms: 1 + 3 + 6y + 6y = 2(y + -4) Combine like terms: 1 + 3 = 4 4 + 6y + 6y = 2(y + -4) Combine like terms: 6y + 6y = 12y 4 + 12y = 2(y + -4) Reorder the terms: 4 + 12y = 2(-4 + y) 4 + 12y = (-4 * 2 + y * 2) 4 + 12y = (-8 + 2y) Solving 4 + 12y = -8 + 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. 4 + 12y + -2y = -8 + 2y + -2y Combine like terms: 12y + -2y = 10y 4 + 10y = -8 + 2y + -2y Combine like terms: 2y + -2y = 0 4 + 10y = -8 + 0 4 + 10y = -8 Add '-4' to each side of the equation. 4 + -4 + 10y = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 10y = -8 + -4 10y = -8 + -4 Combine like terms: -8 + -4 = -12 10y = -12 Divide each side by '10'. y = -1.2 Simplifying y = -1.2
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