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Simplifying 6(5y + -7) = 7(4y + -10) Reorder the terms: 6(-7 + 5y) = 7(4y + -10) (-7 * 6 + 5y * 6) = 7(4y + -10) (-42 + 30y) = 7(4y + -10) Reorder the terms: -42 + 30y = 7(-10 + 4y) -42 + 30y = (-10 * 7 + 4y * 7) -42 + 30y = (-70 + 28y) Solving -42 + 30y = -70 + 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. -42 + 30y + -28y = -70 + 28y + -28y Combine like terms: 30y + -28y = 2y -42 + 2y = -70 + 28y + -28y Combine like terms: 28y + -28y = 0 -42 + 2y = -70 + 0 -42 + 2y = -70 Add '42' to each side of the equation. -42 + 42 + 2y = -70 + 42 Combine like terms: -42 + 42 = 0 0 + 2y = -70 + 42 2y = -70 + 42 Combine like terms: -70 + 42 = -28 2y = -28 Divide each side by '2'. y = -14 Simplifying y = -14
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