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Simplifying 2y + -4(4y + -1) = -5 + -3(-2 + -1y) Reorder the terms: 2y + -4(-1 + 4y) = -5 + -3(-2 + -1y) 2y + (-1 * -4 + 4y * -4) = -5 + -3(-2 + -1y) 2y + (4 + -16y) = -5 + -3(-2 + -1y) Reorder the terms: 4 + 2y + -16y = -5 + -3(-2 + -1y) Combine like terms: 2y + -16y = -14y 4 + -14y = -5 + -3(-2 + -1y) 4 + -14y = -5 + (-2 * -3 + -1y * -3) 4 + -14y = -5 + (6 + 3y) Combine like terms: -5 + 6 = 1 4 + -14y = 1 + 3y Solving 4 + -14y = 1 + 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 + -14y + -3y = 1 + 3y + -3y Combine like terms: -14y + -3y = -17y 4 + -17y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 4 + -17y = 1 + 0 4 + -17y = 1 Add '-4' to each side of the equation. 4 + -4 + -17y = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -17y = 1 + -4 -17y = 1 + -4 Combine like terms: 1 + -4 = -3 -17y = -3 Divide each side by '-17'. y = 0.1764705882 Simplifying y = 0.1764705882
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