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Simplifying 6(5y + 7) + -2y = 2(5y + 7) + 28 Reorder the terms: 6(7 + 5y) + -2y = 2(5y + 7) + 28 (7 * 6 + 5y * 6) + -2y = 2(5y + 7) + 28 (42 + 30y) + -2y = 2(5y + 7) + 28 Combine like terms: 30y + -2y = 28y 42 + 28y = 2(5y + 7) + 28 Reorder the terms: 42 + 28y = 2(7 + 5y) + 28 42 + 28y = (7 * 2 + 5y * 2) + 28 42 + 28y = (14 + 10y) + 28 Reorder the terms: 42 + 28y = 14 + 28 + 10y Combine like terms: 14 + 28 = 42 42 + 28y = 42 + 10y Add '-42' to each side of the equation. 42 + -42 + 28y = 42 + -42 + 10y Combine like terms: 42 + -42 = 0 0 + 28y = 42 + -42 + 10y 28y = 42 + -42 + 10y Combine like terms: 42 + -42 = 0 28y = 0 + 10y 28y = 10y Solving 28y = 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 28y + -10y = 10y + -10y Combine like terms: 28y + -10y = 18y 18y = 10y + -10y Combine like terms: 10y + -10y = 0 18y = 0 Divide each side by '18'. y = 0 Simplifying y = 0
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