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Simplifying 2y + 2 + -3(-4y + -1) = 2(y + -2) Reorder the terms: 2y + 2 + -3(-1 + -4y) = 2(y + -2) 2y + 2 + (-1 * -3 + -4y * -3) = 2(y + -2) 2y + 2 + (3 + 12y) = 2(y + -2) Reorder the terms: 2 + 3 + 2y + 12y = 2(y + -2) Combine like terms: 2 + 3 = 5 5 + 2y + 12y = 2(y + -2) Combine like terms: 2y + 12y = 14y 5 + 14y = 2(y + -2) Reorder the terms: 5 + 14y = 2(-2 + y) 5 + 14y = (-2 * 2 + y * 2) 5 + 14y = (-4 + 2y) Solving 5 + 14y = -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. 5 + 14y + -2y = -4 + 2y + -2y Combine like terms: 14y + -2y = 12y 5 + 12y = -4 + 2y + -2y Combine like terms: 2y + -2y = 0 5 + 12y = -4 + 0 5 + 12y = -4 Add '-5' to each side of the equation. 5 + -5 + 12y = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 12y = -4 + -5 12y = -4 + -5 Combine like terms: -4 + -5 = -9 12y = -9 Divide each side by '12'. y = -0.75 Simplifying y = -0.75
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