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Simplifying 2y + -4(5y + 1) = 2 + -3(1 + -1y) Reorder the terms: 2y + -4(1 + 5y) = 2 + -3(1 + -1y) 2y + (1 * -4 + 5y * -4) = 2 + -3(1 + -1y) 2y + (-4 + -20y) = 2 + -3(1 + -1y) Reorder the terms: -4 + 2y + -20y = 2 + -3(1 + -1y) Combine like terms: 2y + -20y = -18y -4 + -18y = 2 + -3(1 + -1y) -4 + -18y = 2 + (1 * -3 + -1y * -3) -4 + -18y = 2 + (-3 + 3y) Combine like terms: 2 + -3 = -1 -4 + -18y = -1 + 3y Solving -4 + -18y = -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 + -18y + -3y = -1 + 3y + -3y Combine like terms: -18y + -3y = -21y -4 + -21y = -1 + 3y + -3y Combine like terms: 3y + -3y = 0 -4 + -21y = -1 + 0 -4 + -21y = -1 Add '4' to each side of the equation. -4 + 4 + -21y = -1 + 4 Combine like terms: -4 + 4 = 0 0 + -21y = -1 + 4 -21y = -1 + 4 Combine like terms: -1 + 4 = 3 -21y = 3 Divide each side by '-21'. y = -0.1428571429 Simplifying y = -0.1428571429
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