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Simplifying 5(6y + -7) = 7(4y + -1) Reorder the terms: 5(-7 + 6y) = 7(4y + -1) (-7 * 5 + 6y * 5) = 7(4y + -1) (-35 + 30y) = 7(4y + -1) Reorder the terms: -35 + 30y = 7(-1 + 4y) -35 + 30y = (-1 * 7 + 4y * 7) -35 + 30y = (-7 + 28y) Solving -35 + 30y = -7 + 28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28y' to each side of the equation. -35 + 30y + -28y = -7 + 28y + -28y Combine like terms: 30y + -28y = 2y -35 + 2y = -7 + 28y + -28y Combine like terms: 28y + -28y = 0 -35 + 2y = -7 + 0 -35 + 2y = -7 Add '35' to each side of the equation. -35 + 35 + 2y = -7 + 35 Combine like terms: -35 + 35 = 0 0 + 2y = -7 + 35 2y = -7 + 35 Combine like terms: -7 + 35 = 28 2y = 28 Divide each side by '2'. y = 14 Simplifying y = 14
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