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Simplifying 3y + 1 + -3(-3y + -1) = 2(y + -2) Reorder the terms: 3y + 1 + -3(-1 + -3y) = 2(y + -2) 3y + 1 + (-1 * -3 + -3y * -3) = 2(y + -2) 3y + 1 + (3 + 9y) = 2(y + -2) Reorder the terms: 1 + 3 + 3y + 9y = 2(y + -2) Combine like terms: 1 + 3 = 4 4 + 3y + 9y = 2(y + -2) Combine like terms: 3y + 9y = 12y 4 + 12y = 2(y + -2) Reorder the terms: 4 + 12y = 2(-2 + y) 4 + 12y = (-2 * 2 + y * 2) 4 + 12y = (-4 + 2y) Solving 4 + 12y = -4 + 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 = -4 + 2y + -2y Combine like terms: 12y + -2y = 10y 4 + 10y = -4 + 2y + -2y Combine like terms: 2y + -2y = 0 4 + 10y = -4 + 0 4 + 10y = -4 Add '-4' to each side of the equation. 4 + -4 + 10y = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 10y = -4 + -4 10y = -4 + -4 Combine like terms: -4 + -4 = -8 10y = -8 Divide each side by '10'. y = -0.8 Simplifying y = -0.8
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