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Simplifying -7(1 + -4y) = 13(2y + -3) (1 * -7 + -4y * -7) = 13(2y + -3) (-7 + 28y) = 13(2y + -3) Reorder the terms: -7 + 28y = 13(-3 + 2y) -7 + 28y = (-3 * 13 + 2y * 13) -7 + 28y = (-39 + 26y) Solving -7 + 28y = -39 + 26y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-26y' to each side of the equation. -7 + 28y + -26y = -39 + 26y + -26y Combine like terms: 28y + -26y = 2y -7 + 2y = -39 + 26y + -26y Combine like terms: 26y + -26y = 0 -7 + 2y = -39 + 0 -7 + 2y = -39 Add '7' to each side of the equation. -7 + 7 + 2y = -39 + 7 Combine like terms: -7 + 7 = 0 0 + 2y = -39 + 7 2y = -39 + 7 Combine like terms: -39 + 7 = -32 2y = -32 Divide each side by '2'. y = -16 Simplifying y = -16
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