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Simplifying -2 = -49(-7y + 1) + 5(8 + 2y) Reorder the terms: -2 = -49(1 + -7y) + 5(8 + 2y) -2 = (1 * -49 + -7y * -49) + 5(8 + 2y) -2 = (-49 + 343y) + 5(8 + 2y) -2 = -49 + 343y + (8 * 5 + 2y * 5) -2 = -49 + 343y + (40 + 10y) Reorder the terms: -2 = -49 + 40 + 343y + 10y Combine like terms: -49 + 40 = -9 -2 = -9 + 343y + 10y Combine like terms: 343y + 10y = 353y -2 = -9 + 353y Solving -2 = -9 + 353y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-353y' to each side of the equation. -2 + -353y = -9 + 353y + -353y Combine like terms: 353y + -353y = 0 -2 + -353y = -9 + 0 -2 + -353y = -9 Add '2' to each side of the equation. -2 + 2 + -353y = -9 + 2 Combine like terms: -2 + 2 = 0 0 + -353y = -9 + 2 -353y = -9 + 2 Combine like terms: -9 + 2 = -7 -353y = -7 Divide each side by '-353'. y = 0.01983002833 Simplifying y = 0.01983002833
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