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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 = -54y -7 + -54y = 39 + 26y + -26y Combine like terms: 26y + -26y = 0 -7 + -54y = 39 + 0 -7 + -54y = 39 Add '7' to each side of the equation. -7 + 7 + -54y = 39 + 7 Combine like terms: -7 + 7 = 0 0 + -54y = 39 + 7 -54y = 39 + 7 Combine like terms: 39 + 7 = 46 -54y = 46 Divide each side by '-54'. y = -0.8518518519 Simplifying y = -0.8518518519
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